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arXiv:0811.4276 [math.GN]AbstractReferencesReviewsResources

Embedding the bicyclic semigroup into countably compact topological semigroups

Taras Banakh, Svetlana Dimitrova, Oleg Gutik

Published 2008-11-26, updated 2010-09-19Version 3

We study algebraic and topological properties of topological semigroups containing a copy of the bicyclic semigroup C(p,q). We prove that each topological semigroup S with pseudocompact square contains no dense copy of C(p,q). On the other hand, we construct a (consistent) example of a pseudocompact (countably compact) Tychonov semigroup containing a copy of C(p,q).

Comments: 14 pages
Journal: Topology Appl. Vol.157, No.18 (2010) 2803-2814
Categories: math.GN, math.GR
Subjects: 22A15, 54C25, 54D35, 54H15
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