Almost p-compact groups
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http://dx.doi.org/10.1016/j.topol.2011.12.025 |
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Title
Almost p-compact groupsDate
2012-06Publisher
ElsevierType
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S0166864112000491Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
We show that if p is a selective ultrafilter, then for each cardinal α⩽ω1α⩽ω1, there exists a topological group G such that GβGβ is almost p-compact (in particular, countably compact), for β<αβ<α, but GαGα is not ... [+]
We show that if p is a selective ultrafilter, then for each cardinal α⩽ω1α⩽ω1, there exists a topological group G such that GβGβ is almost p-compact (in particular, countably compact), for β<αβ<α, but GαGα is not countably compact.
If in addition, we assume Martinʼs Axiom, then the result above holds for every α<cα<c. [-]
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Topology and its Applications, Volume 159, Issue 9, June 2012Rights
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info:eu-repo/semantics/restrictedAccess
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- MAT_Articles [745]