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A Conjecture on the Hall Topology for the Free Group

โœ Scribed by Pin, J.-E.; Reutenauer, C.

Book ID
111691884
Publisher
Oxford University Press
Year
1991
Tongue
English
Weight
481 KB
Volume
23
Category
Article
ISSN
0024-6093

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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