Selective screenability in topological groups
General Topology
2008-01-09 v2 Group Theory
Abstract
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.
Cite
@article{arxiv.0711.1322,
title = {Selective screenability in topological groups},
author = {Liljana Babinkostova},
journal= {arXiv preprint arXiv:0711.1322},
year = {2008}
}
Comments
12 pages. Improved Theorem 5. Added remarks. Fixed typographical errors