Document Type
Article
Publication Date
7-17-2008
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.
Publication Information
Babinkostova, Liljana. (2008). "Selective Screenability in Topological Groups". Topology and its Applications, 156(1), 2-9. http://dx.doi.org/10.1016/j.topol.2008.02.014
Comments
This is an author-produced, peer-reviewed version of this article. The final, definitive version of this document can be found online at Topology and its Applications, published by Elsevier. Copyright restrictions may apply. DOI: 10.1016/j.topol.2008.02.014