Selective screenability in topological groups

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

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General Topology, Group Theory, 54D20, 54D45, 55M10, 03E20

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http://salesiana.dossiersoluciones.com/handle/123456789/145525

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.1322
 http://arxiv.org/abs/0711.1322

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arXiv