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Abelian torsion groups with a countably compact group topology

✍ Scribed by Irene Castro-Pereira; Artur Hideyuki Tomita


Book ID
108286599
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
208 KB
Volume
157
Category
Article
ISSN
0166-8641

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On the number of countably compact group
✍ Artur Hideyuki Tomita πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 88 KB

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