A countably compact topological group such that
is not countably compact
Authors:
Klaas Pieter Hart and Jan van Mill
Journal:
Trans. Amer. Math. Soc. 323 (1991), 811-821
MSC:
Primary 54B10; Secondary 03E50, 22A05, 22C05, 54D30, 54G20
DOI:
https://doi.org/10.1090/S0002-9947-1991-0982236-3
MathSciNet review:
982236
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Abstract | References | Similar Articles | Additional Information
Abstract: Using we construct a topological group with the properties mentioned in the title.
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- [vD] Eric K. van Douwen, The product of two countably compact topological groups, Trans. Amer. Math. Soc. 262 (1980), no. 2, 417–427. MR 586725, https://doi.org/10.1090/S0002-9947-1980-0586725-8
- [Ru] Donald J. Albers and Constance Reid, An interview with Mary Ellen Rudin, College Math. J. 19 (1988), no. 2, 114–137. MR 944786, https://doi.org/10.2307/2686174
- [We] William Weiss, Versions of Martin’s axiom, Handbook of set-theoretic topology, North-Holland, Amsterdam, 1984, pp. 827–886. MR 776638
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1991-0982236-3
Keywords:
Countably compact topological group,
-independent family,
Martin's Axiom for countable posets
Article copyright:
© Copyright 1991
American Mathematical Society