A game and its relation to netweight and \(D\)-spaces. (Q2897375)
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scientific article; zbMATH DE number 6054243
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A game and its relation to netweight and \(D\)-spaces. |
scientific article; zbMATH DE number 6054243 |
Statements
10 July 2012
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topological game
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network
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netweight
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weakly separated subspaces
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\(D\)-space
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0.85425645
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0.8395542
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0.83846605
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0.83619046
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A game and its relation to netweight and \(D\)-spaces. (English)
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The authors consider a two player topological game and study the relationship of the existence of winning strategies to base properties and covering properties of the underlying space. The existence of a winning strategy for one of the players is conjectured to be equivalent to the space having countable network weight. In addition, certain connections to the class of \(D\)-spaces (due to van Douwen) and the class of hereditarily Lindelöf spaces are pointed out and investigated.
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