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A Free Subgroup of the Free Abelian Topological Group on the unit Interval

✍ Scribed by Katz, E.; Morris, S. A.; Nickolas, P.

Book ID
120093512
Publisher
Oxford University Press
Year
1982
Tongue
English
Weight
95 KB
Volume
14
Category
Article
ISSN
0024-6093

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πŸ“œ SIMILAR VOLUMES

On the number of countably compact group
On the number of countably compact group topologies on a free Abelian 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