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 language | English |
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Pages (from-to) | 2-9 |
Number of pages | 8 |
Journal | Topology and its Applications |
Volume | 156 |
Issue number | 1 |
DOIs | |
State | Published - 1 Nov 2008 |
Keywords
- c-Groupable cover
- Countable dimensional
- Finitary Haver property
- Haver property
- Hurewicz property
- Selection principle
- Selective screenability