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• W2045685864 abstract "We study CLP-compact spaces (every cover consisting of clopen sets has a finite subcover) and CLP-compact topological groups. In particular, we extend a theorem on CLP-compactness of products from [J. Steprāns, A. Šostak, Restricted compactness properties and their preservation under products, Topology Appl. 101 (3) (2000) 213–229] and we offer various criteria for CLP-compactness for spaces and topological groups, that work particularly well for precompact groups. This allows us to show that arbitrary products of CLP-compact pseudocompact groups are CLP-compact. For every natural n we construct: (i) a totally disconnected, n -dimensional, pseudocompact CLP-compact group; and (ii) a hereditarily disconnected, n -dimensional, totally minimal, CLP-compact group that can be chosen to be either separable metrizable or pseudocompact (a Hausdorff group G is totally minimal when all continuous surjective homomorphisms G → H , with a Hausdorff group H , are open)." @default.
• W2045685864 created "2016-06-24" @default.
• W2045685864 creator A5082005350 @default.
• W2045685864 date "2007-04-01" @default.
• W2045685864 modified "2023-09-23" @default.
• W2045685864 title "CLP-compactness for topological spaces and groups" @default.
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• W2045685864 doi "https://doi.org/10.1016/j.topol.2006.04.021" @default.
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