Selective screenability in topological groups

Liljana Babinkostova

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We examine the selective screenability property in topological groups. In the metrizable case we also give characterizations of Sc (Onbd, O) and Smirnov-Sc (Onbd, O) in terms of the Haver property and finitary Haver property respectively relative to left-invariant metrics. We prove theorems stating conditions under which Sc (Onbd, O) is preserved by products. Among metrizable groups we characterize the countable dimensional ones by a natural game.

Original languageEnglish
Pages (from-to)2-9
Number of pages8
JournalTopology and its Applications
Volume156
Issue number1
DOIs
StatePublished - 1 Nov 2008

Keywords

  • c-Groupable cover
  • Countable dimensional
  • Finitary Haver property
  • Haver property
  • Hurewicz property
  • Selection principle
  • Selective screenability

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