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Type: Article
A countably compact free abelian group of size continuum that admits a non-trivial convergent sequence
Abstract:
We show that it is consistent with ZFC that the free Abelian group of cardinality c admits a topological group topology that makes it countably compact with a non-trivial convergent sequence.
We show that it is consistent with ZFC that the free Abelian group of cardinality c admits a topological group topology that makes it countably compact with a non-trivial convergent sequence.
Keywords: Topological group
MSC: 54H11 (03E75 54A35 54G20)
Journal: Topology and its Applications
ISSN: 0166-8641
Year: 2012
Volume: 159
Number: 4
Pages: 1258--1265
Created: 2012-12-11 20:15:48
Modified: 2015-03-17 11:36:42
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