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A universal topological group with a countable base

โœ Scribed by V. V. Uspenskii


Publisher
Springer US
Year
1986
Tongue
English
Weight
161 KB
Volume
20
Category
Article
ISSN
0016-2663

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On the number of countably compact group
โœ Artur Hideyuki Tomita ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 88 KB

We show under MA(ฯƒ -centered) the existence of at least (2 ฯ‰ ) + non-homeomorphic topological group topologies on the free Abelian group of size 2 ฯ‰ which make it countably compact and separable. In particular, under GCH the maximum possible number of such topologies is attained. As a corollary, we