-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathbibliography.bib
1311 lines (1211 loc) · 39.8 KB
/
bibliography.bib
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
@preamble{
"\def\cprime{$'$}"
}
@article {MR2363173,
AUTHOR = {Tsaban, Boaz},
TITLE = {A new selection principle},
JOURNAL = {Topology Proc.},
FJOURNAL = {Topology Proceedings},
VOLUME = {31},
YEAR = {2007},
NUMBER = {1},
PAGES = {319--329},
ISSN = {0146-4124},
MRCLASS = {54C65},
MRNUMBER = {2363173},
MRREVIEWER = {Miroslav Zelen\'{y}},
}
@article{BUKOVSKY2019239,
title = "Selection principle S1 and combinatorics of open covers",
journal = "Topology and its Applications",
volume = "258",
pages = "239 - 250",
year = "2019",
issn = "0166-8641",
doi = "https://doi.org/10.1016/j.topol.2019.02.054",
url = "http://www.sciencedirect.com/science/article/pii/S0166864119300768",
author = "Lev Bukovský",
keywords = "Open cover, -cover, -cover, Covering property, Selection property, Sequence selection property, Shrinkable cover",
abstract = "O, Ω and Γ denotes the family of all open, open ω- and open γ-covers of a topological space X, respectively. Osh, Ωsh and Γsh denotes the corresponding families of shrinkable covers. Let Ψ be one of the symbols O, Ω or Γ. We introduce a property (Ψ0) of a set of real functions on X. Ψ0(F) is the set of all subsets of a family of real functions F possessing the property (Ψ0). Now, let Φ be one of symbols Ω or Γ. Then for any couple 〈Φ,Ψ〉 different from 〈Ω,O〉, a normal topological space X is an S1(Φsh,Ψ)-space, if and only if the set Cp(X) satisfies S1(Φ0,Ψ0), i.e., if S1(Φ0(Cp(X)),Ψ0(Cp(X))) holds true. Similarly, X is an S1(Φ,Ψ)-space if and only if the set of non-negative upper semicontinuous real functions on X satisfies S1(Φ0,Ψ0)."
}
@article {MR1396994,
AUTHOR = {Scheepers, Marion},
TITLE = {A sequential property of {$C_p(X)$} and a covering property of
{H}urewicz},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {125},
YEAR = {1997},
NUMBER = {9},
PAGES = {2789--2795},
ISSN = {0002-9939},
MRCLASS = {54C35 (54D20)},
MRNUMBER = {1396994},
MRREVIEWER = {J. M. Aarts},
DOI = {10.1090/S0002-9939-97-03897-5},
URL = {https://doi.org/10.1090/S0002-9939-97-03897-5},
}
@article {MR3991109,
AUTHOR = {Caruvana, Christopher and Holshouser, Jared},
TITLE = {Closed discrete selection in the compact open topology},
JOURNAL = {Topology Proc.},
FJOURNAL = {Topology Proceedings},
VOLUME = {56},
YEAR = {2020},
PAGES = {25--55},
ISSN = {0146-4124},
MRCLASS = {54C35 (54D20)},
MRNUMBER = {3991109},
}
@article{CLONTZ2019106815,
title = "Limited information strategies and discrete selectivity",
journal = "Topology and its Applications",
volume = "265",
pages = "106815",
year = "2019",
issn = "0166-8641",
doi = "https://doi.org/10.1016/j.topol.2019.07.008",
url = "http://www.sciencedirect.com/science/article/pii/S016686411830470X",
author = "Steven Clontz and Jared Holshouser",
keywords = "Selection property, Selection game, Point picking game, Limited information strategies, Covering properties, Cp theory",
abstract = "We relate the property of discrete selectivity and its corresponding game, both recently introduced by V.V. Tkachuk, to a variety of selection principles and point-picking games. In particular we show that player II can win the discrete selectivity game on Cp(X) if and only if player II can win a variant of the point-open game on X. We also show that the existence of limited information strategies in the discrete selectivity game on Cp(X) for either player are equivalent to other well-known topological properties."
}
@article {MR2417134,
AUTHOR = {Ko\v{c}inac, Ljubi\v{s}a D. R.},
TITLE = {Selection principles related to {$\alpha_i$}-properties},
JOURNAL = {Taiwanese J. Math.},
FJOURNAL = {Taiwanese Journal of Mathematics},
VOLUME = {12},
YEAR = {2008},
NUMBER = {3},
PAGES = {561--571},
ISSN = {1027-5487},
MRCLASS = {91A44 (54B20 54D55)},
MRNUMBER = {2417134},
MRREVIEWER = {J. M. Aarts},
DOI = {10.11650/twjm/1500602421},
URL = {https://doi.org/10.11650/twjm/1500602421},
}
@article {MR0394575,
AUTHOR = {Arhangel\cprime ski\u{\i}, A. V.},
TITLE = {Frequency spectrum of a topological space and classification
of spaces},
JOURNAL = {Dokl. Akad. Nauk SSSR},
FJOURNAL = {Doklady Akademii Nauk SSSR},
VOLUME = {206},
YEAR = {1972},
PAGES = {265--268},
ISSN = {0002-3264},
MRCLASS = {54D55},
MRNUMBER = {0394575},
MRREVIEWER = {S. P. Arya},
}
@article {2018arXiv180606001C,
author = {{Clontz}, S. and {Holshouser}, J.},
title = "{Limited Information Strategies and Discrete Selectivity}",
journal = {ArXiv e-prints},
archivePrefix = "arXiv",
eprint = {1806.06001},
primaryClass = "math.GN",
keywords = {Mathematics - General Topology, Mathematics - Logic, 54C30, 54D20, 54D45, 91A44},
year = 2018,
month = jun,
adsurl = {http://adsabs.harvard.edu/abs/2018arXiv180606001C},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@article {MR0370506,
AUTHOR = {Levy, R. and McDowell, R. H.},
TITLE = {Dense subsets of {$\beta X$}},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {50},
YEAR = {1975},
PAGES = {426--430},
ISSN = {0002-9939},
MRCLASS = {54D35 (54C30)},
MRNUMBER = {0370506},
MRREVIEWER = {W. W. Comfort},
DOI = {10.2307/2040580},
URL = {https://doi.org/10.2307/2040580},
}
@book {MR953314,
AUTHOR = {McCoy, Robert A. and Ntantu, Ibula},
TITLE = {Topological properties of spaces of continuous functions},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1315},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {1988},
PAGES = {iv+124},
ISBN = {3-540-19302-2},
MRCLASS = {54C35 (54A25 54D10 54E15)},
MRNUMBER = {953314},
MRREVIEWER = {J. E. Keesling},
DOI = {10.1007/BFb0098389},
URL = {http://dx.doi.org/10.1007/BFb0098389},
}
@article {MR3383283,
AUTHOR = {Dias, Rodrigo R. and Scheepers, Marion},
TITLE = {Selective games on binary relations},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {192},
YEAR = {2015},
PAGES = {58--83},
ISSN = {0166-8641},
MRCLASS = {91A44 (54B10 54D20 54D45 54D65 54D99)},
MRNUMBER = {3383283},
MRREVIEWER = {Andrzej Henryk Kucharski},
URL = {https://doi.org/10.1016/j.topol.2015.05.071},
}
@book{comfort_negrepontis_1982, place={Cambridge}, series={Cambridge Tracts in Mathematics}, title={Chain Conditions in Topology}, DOI={10.1017/CBO9780511897337}, publisher={Cambridge University Press}, author={Comfort, W. W. and Negrepontis, S.}, year={1982}, collection={Cambridge Tracts in Mathematics}}
@article{bartoszynski1993covering,
title={Covering games and the Banach-Mazur game: k-tactics},
author={Bartoszynski, Tomek and Just, Winfried and Scheepers, Marion},
journal={Canad. J. Math},
volume={45},
pages={897--929},
year={1993}
}
@book{19362020070101,
Abstract = {This volume is a collection of surveys of research problems in topology and its applications. The topics covered include general topology, set-theoretic topology, continuum theory, topological algebra, dynamical systems, computational topology and functional analysis.• New surveys of research problems in topology• New perspectives on classic problems• Representative surveys of research groups from all around the world},
Author = {Pearl, Elliott},
ISBN = {9780444522085},
Publisher = {Elsevier Science},
Title = {Open Problems in Topology II.},
URL = {https://libproxy.usouthal.edu/login?url=http://search.ebscohost.com/login.aspx?direct=true&db=e000xna&AN=193620&site=eds-live},
Year = {2007},
}
@book {MR1382863,
AUTHOR = {Steen, Lynn Arthur and Seebach, Jr., J. Arthur},
TITLE = {Counterexamples in topology},
NOTE = {Reprint of the second (1978) edition},
PUBLISHER = {Dover Publications, Inc., Mineola, NY},
YEAR = {1995},
PAGES = {xii+244},
ISBN = {0-486-68735-X},
MRCLASS = {54-00 (00A20 54-01 54G20)},
MRNUMBER = {1382863},
}
@misc{juhaszgood,
title={Good, splendid and Jakovlev, Open problems in topology II (E. Pearl, ed.)},
author={Juh{\'a}sz, I and Weiss, W},
publisher={Elsevier Science},
year={2007},
}
@article{Rothberger1938,
author = {Rothberger, Fritz},
journal = {Fundamenta Mathematicae},
keywords = {Set theory, real functions},
language = {ger},
number = {1},
pages = {50-55},
title = {Eine {V}ersch{\"a}rfung der {E}igenschaft {C}},
url = {http://eudml.org/doc/213019},
volume = {30},
year = {1938},
}
@article{Kunen1981283,
title = "A compact {L}-space under {C}{H} ",
journal = "Topology and its Applications ",
volume = "12",
number = "3",
pages = "283 - 287",
year = "1981",
note = "",
issn = "0166-8641",
doi = "http://dx.doi.org/10.1016/0166-8641(81)90006-7",
url = "http://www.sciencedirect.com/science/article/pii/0166864181900067",
author = "Kenneth Kunen"
}
@article {MR812643,
AUTHOR = {Nogura, Tsugunori},
TITLE = {The product of {$\langle \alpha_i\rangle$}-spaces},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {21},
YEAR = {1985},
NUMBER = {3},
PAGES = {251--259},
ISSN = {0166-8641},
MRCLASS = {54A20 (54B05 54B10 54D55 54G20)},
MRNUMBER = {812643},
MRREVIEWER = {Gary Gruenhage},
DOI = {10.1016/0166-8641(85)90014-8},
URL = {https://doi.org/10.1016/0166-8641(85)90014-8},
}
@article {MR2280899,
AUTHOR = {Sakai, Masami},
TITLE = {The sequence selection properties of {$C_p(X)$}},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {154},
YEAR = {2007},
NUMBER = {3},
PAGES = {552--560},
ISSN = {0166-8641},
MRCLASS = {54A20 (54C35)},
MRNUMBER = {2280899},
MRREVIEWER = {W. A. Feldman},
DOI = {10.1016/j.topol.2006.07.008},
URL = {https://doi.org/10.1016/j.topol.2006.07.008},
}
@article {MR964873,
AUTHOR = {Sakai, Masami},
TITLE = {Property {C}\cprime\cprime\ and function spaces},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {104},
YEAR = {1988},
NUMBER = {3},
PAGES = {917--919},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {54A25 (54C35 54D20)},
MRNUMBER = {964873},
MRREVIEWER = {I. I. Guran},
DOI = {10.2307/2046816},
URL = {http://dx.doi.org/10.2307/2046816},
}
@article {MR837289,
AUTHOR = {Arkhangel{\cprime}ski{\u\i}, A. V.},
TITLE = {Hurewicz spaces, analytic sets and fan tightness of function
spaces},
JOURNAL = {Dokl. Akad. Nauk SSSR},
FJOURNAL = {Doklady Akademii Nauk SSSR},
VOLUME = {287},
YEAR = {1986},
NUMBER = {3},
PAGES = {525--528},
ISSN = {0002-3264},
MRCLASS = {54H05 (54C35)},
MRNUMBER = {837289},
MRREVIEWER = {D. Preiss},
}
@article {MR1419798,
AUTHOR = {Just, Winfried and Miller, Arnold W. and Scheepers, Marion and
Szeptycki, Paul J.},
TITLE = {The combinatorics of open covers. {II}},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {73},
YEAR = {1996},
NUMBER = {3},
PAGES = {241--266},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {03E05 (04A20 05D10 54D20 90D44)},
MRNUMBER = {1419798},
MRREVIEWER = {J. M. Aarts},
DOI = {10.1016/S0166-8641(96)00075-2},
URL = {http://dx.doi.org/10.1016/S0166-8641(96)00075-2},
}
@article {MR1885790,
AUTHOR = {Arhangel'skii, A. V.},
TITLE = {From classic topological invariants to relative topological
properties},
JOURNAL = {Sci. Math. Jpn.},
FJOURNAL = {Scientiae Mathematicae Japonicae},
VOLUME = {55},
YEAR = {2002},
NUMBER = {1},
PAGES = {153--201},
ISSN = {1346-0862},
MRCLASS = {54D15 (54D10 54D20 54D30)},
MRNUMBER = {1885790 (2003f:54046)},
MRREVIEWER = {R. Hodel},
}
@book {MR1940513,
AUTHOR = {Jech, Thomas},
TITLE = {Set theory},
SERIES = {Springer Monographs in Mathematics},
NOTE = {The third millennium edition, revised and expanded},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {2003},
PAGES = {xiv+769},
ISBN = {3-540-44085-2},
MRCLASS = {03Exx (03-01 03-02)},
MRNUMBER = {1940513 (2004g:03071)},
MRREVIEWER = {Eva Coplakova},
}
@article {MR954892,
AUTHOR = {Miller, Arnold W. and Fremlin, David H.},
TITLE = {On some properties of {H}urewicz, {M}enger, and {R}othberger},
JOURNAL = {Fund. Math.},
FJOURNAL = {Polska Akademia Nauk. Fundamenta Mathematicae},
VOLUME = {129},
YEAR = {1988},
NUMBER = {1},
PAGES = {17--33},
ISSN = {0016-2736},
CODEN = {FUMAAJ},
MRCLASS = {54E18 (54D20)},
MRNUMBER = {954892 (89g:54061)},
MRREVIEWER = {J. C. Oxtoby},
}
@article {MR539228,
AUTHOR = {Juh{\'a}sz, I. and Nagy, Zs. and Weiss, W.},
TITLE = {On countably compact, locally countable spaces},
JOURNAL = {Period. Math. Hungar.},
FJOURNAL = {Periodica Mathematica Hungarica. Journal of the J\'anos Bolyai
Mathematical Society},
VOLUME = {10},
YEAR = {1979},
NUMBER = {2-3},
PAGES = {193--206},
ISSN = {0031-5303},
CODEN = {PMHGAW},
MRCLASS = {54D10 (54A25)},
MRNUMBER = {539228 (80h:54025)},
MRREVIEWER = {V. I. Malykhin},
DOI = {10.1007/BF02025892},
URL = {http://dx.doi.org/10.1007/BF02025892},
}
@book {MR2355670,
AUTHOR = {Todorcevic, Stevo},
TITLE = {Walks on ordinals and their characteristics},
SERIES = {Progress in Mathematics},
VOLUME = {263},
PUBLISHER = {Birkh\"auser Verlag, Basel},
YEAR = {2007},
PAGES = {vi+324},
ISBN = {978-3-7643-8528-6},
MRCLASS = {03-02 (03E05 03E10)},
MRNUMBER = {2355670 (2011e:03001)},
MRREVIEWER = {A. Tsarpalias},
}
@article {MR2868880,
AUTHOR = {Barman, Doyel and Dow, Alan},
TITLE = {Proper forcing axiom and selective separability},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {159},
YEAR = {2012},
NUMBER = {3},
PAGES = {806--813},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {54D65 (03E57 54C10)},
MRNUMBER = {2868880},
MRREVIEWER = {Carlos Azarel Mart{\'{\i}}nez Ranero},
DOI = {10.1016/j.topol.2011.11.048},
URL = {http://dx.doi.org/10.1016/j.topol.2011.11.048},
}
@article {CLONTZVARAGONA,
AUTHOR = {Clontz, Steven and Varagona, Scott},
TITLE = {Destruction of metrizability in generalized inverse limits},
JOURNAL = {Topology Proc.},
FJOURNAL = {Topology Proceedings},
YEAR = {to appear},
}
@article {VARAGONApreprint,
AUTHOR = {Varagona, Scott},
TITLE = {Generalized Inverse Limits Indexed by Totally Ordered Sets
},
DOI = {arXiv:1511.00266},
URL = {http://arxiv.org/abs/1511.00266},
JOURNAL = {preprint},
}
@article {MR0309729,
AUTHOR = {Jensen, R. Bj{\"o}rn},
TITLE = {The fine structure of the constructible hierarchy},
NOTE = {With a section by Jack Silver},
JOURNAL = {Ann. Math. Logic},
FJOURNAL = {Annals of Pure and Applied Logic},
VOLUME = {4},
YEAR = {1972},
PAGES = {229--308; erratum, ibid. 4 (1972), 443},
ISSN = {0168-0072},
MRCLASS = {02K05},
MRNUMBER = {0309729 (46 \#8834)},
MRREVIEWER = {Andreas Blass},
}
@article {NYIKOSKUREPA,
AUTHOR = {Nyikos, Peter},
TITLE = {Generalied Kurepa and MAD families and topology},
URL = {http://people.math.sc.edu/nyikos/Ku.pdf},
}
@article{shakhmatov2002convergence,
title={Convergence in the presence of algebraic structure},
author={Shakhmatov, Dmitri},
journal={Recent progress in general topology, II, North-Holland, Amsterdam},
pages={463--484},
year={2002}
}
@article {MR975638,
AUTHOR = {Dow, Alan},
TITLE = {Two classes of {F}r\'{e}chet-{U}rysohn spaces},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {108},
YEAR = {1990},
NUMBER = {1},
PAGES = {241--247},
ISSN = {0002-9939},
MRCLASS = {54E35 (03E35 03E75 54A35)},
MRNUMBER = {975638},
DOI = {10.2307/2047719},
URL = {https://doi.org/10.2307/2047719},
}
@article {MR1195504,
AUTHOR = {Nyikos, Peter J.},
TITLE = {Subsets of {${}^\omega\omega$} and the {F}r\'{e}chet-{U}rysohn and
{$\alpha_i$}-properties},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {48},
YEAR = {1992},
NUMBER = {2},
PAGES = {91--116},
ISSN = {0166-8641},
MRCLASS = {54A35 (03E35 03E65 54D55 54G20)},
MRNUMBER = {1195504},
MRREVIEWER = {Krzysztof Ciesielski},
DOI = {10.1016/0166-8641(92)90021-Q},
URL = {https://doi.org/10.1016/0166-8641(92)90021-Q},
}
@article {MR1045371,
AUTHOR = {Levinski, Jean-Pierre and Magidor, Menachem and Shelah,
Saharon},
TITLE = {Chang's conjecture for {$\aleph_\omega$}},
JOURNAL = {Israel J. Math.},
FJOURNAL = {Israel Journal of Mathematics},
VOLUME = {69},
YEAR = {1990},
NUMBER = {2},
PAGES = {161--172},
ISSN = {0021-2172},
CODEN = {ISJMAP},
MRCLASS = {03C52 (03C55 03E40)},
MRNUMBER = {1045371 (91g:03071)},
MRREVIEWER = {M. Yasuhara},
DOI = {10.1007/BF02937302},
URL = {http://dx.doi.org/10.1007/BF02937302},
}
@article {tkachukTwoPointGame,
author = {Vladimir V. Tkachuk},
title = {Two point-picking games derived from a property of function spaces},
journal = {Quaestiones Mathematicae},
volume = {0},
number = {0},
pages = {1-15},
year = {2017},
publisher = {Taylor & Francis},
doi = {10.2989/16073606.2017.1399172},
URL = {
https://doi.org/10.2989/16073606.2017.1399172
},
eprint = {
https://doi.org/10.2989/16073606.2017.1399172
}
}
@article {MR2678950,
AUTHOR = {Barman, Doyel and Dow, Alan},
TITLE = {Selective separability and {${\rm SS}^+$}},
JOURNAL = {Topology Proc.},
FJOURNAL = {Topology Proceedings},
VOLUME = {37},
YEAR = {2011},
PAGES = {181--204},
ISSN = {0146-4124},
MRCLASS = {54D65 (54A35 54C10 54D55 54H11 91A44)},
MRNUMBER = {2678950 (2011i:54024)},
MRREVIEWER = {J. M. Aarts},
}
@article {MR526012,
AUTHOR = {Arhangel'ski{\u\i}, A. V.},
TITLE = {The structure and classification of topological spaces and
cardinal invariants},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
Uspekhi Matematicheskikh Nauk},
VOLUME = {33},
YEAR = {1978},
NUMBER = {6(204)},
PAGES = {29--84, 272},
ISSN = {0042-1316},
MRCLASS = {54A25 (54-02)},
MRNUMBER = {526012 (80i:54005)},
MRREVIEWER = {Teodor Przymusi{\'n}ski},
}
@article {MR0461410,
AUTHOR = {Gulko, S. P.},
TITLE = {Properties of sets that lie in {$\Sigma $}-products},
JOURNAL = {Dokl. Akad. Nauk SSSR},
FJOURNAL = {Doklady Akademii Nauk SSSR},
VOLUME = {237},
YEAR = {1977},
NUMBER = {3},
PAGES = {505--508},
ISSN = {0002-3264},
MRCLASS = {54B10},
MRNUMBER = {0461410 (57 \#1395)},
MRREVIEWER = {N. Hadziivanov},
}
@article {MR0428275,
AUTHOR = {Gruenhage, Gary},
TITLE = {Continuously perfectly normal spaces and some generalizations},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {224},
YEAR = {1976},
NUMBER = {2},
PAGES = {323--338},
ISSN = {0002-9947},
MRCLASS = {54D15 (54E35)},
MRNUMBER = {0428275 (55 \#1300)},
MRREVIEWER = {J. J. Charatonik},
}
@book {MR666400,
TITLE = {The {S}cottish {B}ook},
EDITOR = {Mauldin, R. Daniel},
NOTE = {Mathematics from the Scottish Caf{\'e},
Including selected papers presented at the Scottish Book
Conference held at North Texas State University, Denton, Tex.,
May 1979},
PUBLISHER = {Birkh\"auser, Boston, Mass.},
YEAR = {1981},
PAGES = {xiii+268 pp. (2 plates)},
ISBN = {3-7643-3045-7},
MRCLASS = {00A11 (01A60)},
MRNUMBER = {666400 (84m:00015)},
MRREVIEWER = {Roger B. Eggleton},
}
@article{Marciszewski1991291,
title = "Order types, calibres and spread of Corson compacta ",
journal = "Topology and its Applications ",
volume = "42",
number = "3",
pages = "291 - 299",
year = "1991",
note = "",
issn = "0166-8641",
doi = "http://dx.doi.org/10.1016/0166-8641(91)90128-9",
url = "http://www.sciencedirect.com/science/article/pii/0166864191901289",
author = "Witold Marciszewski",
keywords = "Corson compact",
keywords = "Eberlein compact",
keywords = "ccc",
keywords = "precalibre",
keywords = "spread "
}
@article {MR0080902,
AUTHOR = {Rudin, Walter},
TITLE = {Homogeneity problems in the theory of \v {C}ech
compactifications},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {23},
YEAR = {1956},
PAGES = {409--419},
ISSN = {0012-7094},
MRCLASS = {54.0X},
MRNUMBER = {0080902 (18,324d)},
MRREVIEWER = {L. Gillman},
}
@article {MR892457,
AUTHOR = {Telg{\'a}rsky, Rastislav},
TITLE = {Topological games: on the 50th anniversary of the
{B}anach-{M}azur game},
JOURNAL = {Rocky Mountain J. Math.},
FJOURNAL = {The Rocky Mountain Journal of Mathematics},
VOLUME = {17},
YEAR = {1987},
NUMBER = {2},
PAGES = {227--276},
ISSN = {0035-7596},
CODEN = {RMJMAE},
MRCLASS = {54H05 (90D13)},
MRNUMBER = {892457 (88d:54046)},
MRREVIEWER = {J. C. Oxtoby},
DOI = {10.1216/RMJ-1987-17-2-227},
URL = {http://dx.doi.org/10.1216/RMJ-1987-17-2-227},
}
@inproceedings {MR540599,
AUTHOR = {Franklin, Stanley P. and Thomas, Barbara V. Smith},
TITLE = {A survey of {$k_{\omega }$}-spaces},
BOOKTITLE = {Proceedings of the 1977 {T}opology {C}onference ({L}ouisiana
{S}tate {U}niv., {B}aton {R}ouge, {L}a., 1977), {I}},
JOURNAL = {Topology Proc.},
FJOURNAL = {Topology Proceedings},
VOLUME = {2},
YEAR = {1977},
NUMBER = {1},
PAGES = {111--124 (1978)},
ISSN = {0146-4124},
MRCLASS = {54D50 (54D45 54E35)},
MRNUMBER = {540599 (80k:54044)},
MRREVIEWER = {W. F. Lamartin},
}
@article {MR716576,
AUTHOR = {Rudin, Mary Ellen},
TITLE = {The shrinking property},
JOURNAL = {Canad. Math. Bull.},
FJOURNAL = {Canadian Mathematical Bulletin. Bulletin Canadien de
Math\'ematiques},
VOLUME = {26},
YEAR = {1983},
NUMBER = {4},
PAGES = {385--388},
ISSN = {0008-4395},
CODEN = {CMBUA3},
MRCLASS = {54D20 (54D18)},
MRNUMBER = {716576 (85h:54040)},
MRREVIEWER = {Attilio Le Donne},
DOI = {10.4153/CMB-1983-064-x},
URL = {http://dx.doi.org/10.4153/CMB-1983-064-x},
}
@book {MR2048350,
AUTHOR = {Willard, Stephen},
TITLE = {General topology},
NOTE = {Reprint of the 1970 original [Addison-Wesley, Reading, MA;
MR0264581]},
PUBLISHER = {Dover Publications, Inc., Mineola, NY},
YEAR = {2004},
PAGES = {xii+369},
ISBN = {0-486-43479-6},
MRCLASS = {54-02 (01A75)},
MRNUMBER = {2048350},
}
@article {MR2040233,
AUTHOR = {K{\"u}nzi, H. P. A. and Romaguera, S. and S{\'a}nchez-Granero,
M. A.},
TITLE = {On uniformly locally compact quasi-uniform hyperspaces},
JOURNAL = {Czechoslovak Math. J.},
FJOURNAL = {Czechoslovak Mathematical Journal},
VOLUME = {54(129)},
YEAR = {2004},
NUMBER = {1},
PAGES = {215--228},
ISSN = {0011-4642},
CODEN = {CZMJAE},
MRCLASS = {54E15 (54B20 54D45)},
MRNUMBER = {2040233 (2005e:54029)},
MRREVIEWER = {G. D. Dimov},
DOI = {10.1023/B:CMAJ.0000027261.90263.b0},
URL = {http://dx.doi.org/10.1023/B:CMAJ.0000027261.90263.b0},
}
@article {MR858337,
AUTHOR = {Gruenhage, Gary},
TITLE = {Games, covering properties and {E}berlein compacts},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {23},
YEAR = {1986},
NUMBER = {3},
PAGES = {291--297},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {54D18 (54D45 90D42)},
MRNUMBER = {858337 (87j:54035)},
MRREVIEWER = {R. Telg{\'a}rsky},
DOI = {10.1016/0166-8641(85)90046-X},
URL = {http://dx.doi.org/10.1016/0166-8641(85)90046-X},
}
@article {MR752278,
AUTHOR = {Gruenhage, Gary},
TITLE = {Covering properties on {$X^{2}\setminus \Delta $}, {$W$}-sets,
and compact subsets of {$\Sigma $}-products},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {17},
YEAR = {1984},
NUMBER = {3},
PAGES = {287--304},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {54D18 (54D30)},
MRNUMBER = {752278 (86e:54029)},
DOI = {10.1016/0166-8641(84)90049-X},
URL = {http://dx.doi.org/10.1016/0166-8641(84)90049-X},
}
@book {MR1039321,
AUTHOR = {Engelking, Ryszard},
TITLE = {General topology},
SERIES = {Sigma Series in Pure Mathematics},
VOLUME = {6},
EDITION = {Second},
NOTE = {Translated from the Polish by the author},
PUBLISHER = {Heldermann Verlag, Berlin},
YEAR = {1989},
PAGES = {viii+529},
ISBN = {3-88538-006-4},
MRCLASS = {54-01 (54-02)},
MRNUMBER = {1039321 (91c:54001)},
MRREVIEWER = {Gary Gruenhage},
}
@article {MR3227201,
AUTHOR = {Clontz, Steven and Gruenhage, Gary},
TITLE = {Proximal compact spaces are {C}orson compact},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {173},
YEAR = {2014},
PAGES = {1--8},
ISSN = {0166-8641},
MRCLASS = {54D30},
MRNUMBER = {3227201},
DOI = {10.1016/j.topol.2014.05.010},
URL = {http://dx.doi.org/10.1016/j.topol.2014.05.010},
}
@article {MR2119791,
AUTHOR = {Ko\v{c}inac, Ljubi\v{s}a D. R.},
TITLE = {{$\gamma$}-sets, {$\gamma_k$}-sets and hyperspaces},
JOURNAL = {Math. Balkanica (N.S.)},
FJOURNAL = {Mathematica Balkanica. New Series},
VOLUME = {19},
YEAR = {2005},
NUMBER = {1-2},
PAGES = {109--118},
ISSN = {0205-3217},
MRCLASS = {54B20 (54D20 54D55)},
MRNUMBER = {2119791},
}
@article {MR3467819,
AUTHOR = {Clontz, Steven},
TITLE = {On {$k$}-tactics in {G}ruenhage's compact-point game},
JOURNAL = {Questions Answers Gen. Topology},
FJOURNAL = {Questions and Answers in General Topology},
VOLUME = {34},
YEAR = {2016},
NUMBER = {1},
PAGES = {1--10},
ISSN = {0918-4732},
MRCLASS = {54D20 (54D45)},
MRNUMBER = {3467819},
MRREVIEWER = {L\'{a}szl\'{o} Zsilinszky},
}
@article {QAClontzPreprint,
AUTHOR = {Clontz, Steven},
TITLE = {On {$k$}-tactics in {G}ruenhage's compact-point game},
JOURNAL = {Questions Answers Gen. Topology},
FJOURNAL = {Questions and Answers in General Topology},
VOLUME = {34},
YEAR = {2016},
NUMBER = {1},
PAGES = {1--10},
ISSN = {0918-4732},
MRCLASS = {54D20 (54D45)},
MRNUMBER = {3467819},
MRREVIEWER = {L\'{a}szl\'{o} Zsilinszky},
}
@article {MR3239205,
AUTHOR = {Bell, Jocelyn R.},
TITLE = {An infinite game with topological consequences},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {175},
YEAR = {2014},
PAGES = {1--14},
ISSN = {0166-8641},
MRCLASS = {Preliminary Data},
MRNUMBER = {3239205},
DOI = {10.1016/j.topol.2014.06.014},
URL = {http://dx.doi.org/10.1016/j.topol.2014.06.014},
}
@article {MR1279482,
AUTHOR = {Pawlikowski, Janusz},
TITLE = {Undetermined sets of point-open games},
JOURNAL = {Fund. Math.},
FJOURNAL = {Fundamenta Mathematicae},
VOLUME = {144},
YEAR = {1994},
NUMBER = {3},
PAGES = {279--285},
ISSN = {0016-2736},
MRCLASS = {54G15 (03E15 54A35)},
MRNUMBER = {1279482 (95i:54043)},
MRREVIEWER = {J. M. Aarts},
}
@article {MR1273523,
AUTHOR = {Scheepers, Marion},
TITLE = {A direct proof of a theorem of {T}elg\'arsky},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {123},
YEAR = {1995},
NUMBER = {11},
PAGES = {3483--3485},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {90D44 (03E60 54H99)},
MRNUMBER = {1273523 (96h:90173)},
DOI = {10.2307/2161096},
URL = {http://dx.doi.org/10.2307/2161096},
}
@article {MR753073,
AUTHOR = {Telg{\'a}rsky, Rastislav},
TITLE = {On games of {T}ops\o e},
JOURNAL = {Math. Scand.},
FJOURNAL = {Mathematica Scandinavica},
VOLUME = {54},
YEAR = {1984},
NUMBER = {1},
PAGES = {170--176},
ISSN = {0025-5521},
CODEN = {MTSCAN},
MRCLASS = {54A99 (54H99 90D05)},
MRNUMBER = {753073 (86i:54006)},
MRREVIEWER = {M. R. Krom},
}
@article {MR1031969,
AUTHOR = {Dow, Alan},
TITLE = {An introduction to applications of elementary submodels to
topology},
JOURNAL = {Topology Proc.},
FJOURNAL = {Topology Proceedings},
VOLUME = {13},
YEAR = {1988},
NUMBER = {1},
PAGES = {17--72},
ISSN = {0146-4124},
MRCLASS = {54A35 (03C62 03E35 03E55 03E75 54A25)},
MRNUMBER = {1031969 (91a:54003)},
MRREVIEWER = {S. R. Kogalovski{\u\i}},
}
@book {MR597342,
AUTHOR = {Kunen, Kenneth},
TITLE = {Set theory},
SERIES = {Studies in Logic and the Foundations of Mathematics},
VOLUME = {102},
NOTE = {An introduction to independence proofs},
PUBLISHER = {North-Holland Publishing Co., Amsterdam-New York},
YEAR = {1980},
PAGES = {xvi+313},
ISBN = {0-444-85401-0},
MRCLASS = {03-02 (03E35 03Exx 04-02)},
MRNUMBER = {597342 (82f:03001)},
MRREVIEWER = {U. Felgner},
}
@article {custom31879423,
AUTHOR = {Menger, Karl},
TITLE = {Einige \"Uberdeckungss\"atze der Punktmengenlehre},
JOURNAL = {Sitzungsberichte der Wiener Akademie},
VOLUME = {133},
YEAR = {1924},
PAGES = {421--444},
}
@article {MR1544773,
AUTHOR = {Hurewicz, Witold},
TITLE = {\"{U}ber eine {V}erallgemeinerung des {B}orelschen {T}heorems},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {24},
YEAR = {1926},
NUMBER = {1},
PAGES = {401--421},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {Contributed Item},
MRNUMBER = {1544773},
DOI = {10.1007/BF01216792},
URL = {http://dx.doi.org/10.1007/BF01216792},
}
@article {MR0431104,
AUTHOR = {Haworth, R. C. and McCoy, R. A.},
TITLE = {Baire spaces},
JOURNAL = {Dissertationes Math. (Rozprawy Mat.)},
VOLUME = {141},
YEAR = {1977},
PAGES = {73},
MRCLASS = {54E99},
MRNUMBER = {0431104 (55 \#4106)},
MRREVIEWER = {J. C. Oxtoby},
}
@article{noMRbaker,
author = "Matthew H. Baker",
title = "Uncountable Sets and an Infinite Real Number Game",
journal = "Mathematics Magazine",
year = "2007",
volume = "80",
number = "5",
pages = "377-380",
month = "December"