Selective screenability in topological groups
نویسندگان
چکیده
منابع مشابه
Selective Screenability in Topological Groups
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 t...
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We point out that in metric spaces Haver’s property is not equivalent to the property introduced by Addis and Gresham. We prove that they are equal when the space has the Hurewicz property. We prove several results about the preservation of Haver’s property in products. We show that if a separable metric space has the Haver property, and the nth power has the Hurewicz property, then the nth pow...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2008
ISSN: 0166-8641
DOI: 10.1016/j.topol.2008.02.014