Countable compactness and finite powers of topological groups without convergent sequences

We show under MA countable that for every positive integer n there exists a topological group G without non-trivial convergent sequences such that G n is countably compact but G n+1 is not. This answers the finite case of Comfort's Question 477 in the Open Problems in Topology. We also show und...

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Bibliographic Details

Published in:	Topology and its applications Vol. 146; pp. 527 - 538
Main Author:	Tomita, A.H.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 2005
Subjects:	Countably compact Finite power Linear independence Martin's Axiom Suitable set Topological group Finite power Countably compact Topological group Suitable set Martin's Axiom Linear independence .
ISSN:	0166-8641, 1879-3207
Online Access:	Get full text
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