arXiv:0711.1322 Abstract | arXiv Analytics

arXiv:0711.1322 [math.GN]Abstract References Reviews Resources

Selective screenability in topological groups

Published 2007-11-08, updated 2008-01-09Version 2

We examine the selective screenability property in topological groups. In the metrizable case we also give characterizations in terms of the Haver property and finitary Haver property respectively relative to left-invariant metrics. We prove theorems stating conditions under which the properties are preserved by products. Among metrizable groups we characterize the ones of countable covering dimension by a natural game.

Comments: 12 pages. Improved Theorem 5. Added remarks. Fixed typographical errors

Categories: math.GN, math.GR

Subjects: 54D20, 54D45, 55M10, 03E20

Keywords: topological groups, left-invariant metrics, finitary haver property respectively relative, selective screenability property, theorems stating conditions

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