Absolute countable compactness of products and topological groups (Q2761036)
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scientific article; zbMATH DE number 1682899
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Absolute countable compactness of products and topological groups |
scientific article; zbMATH DE number 1682899 |
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17 December 2001
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absolutely countably compact spaces
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topological group
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Absolute countable compactness of products and topological groups (English)
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First, some closed subspaces of \(X\times Y\) are described that are absolutely countably compact (in the sense of \textit{M. V. Matveev} [Topology Appl. 58, No. 1, 81-92 (1994; Zbl 0801.54021)]). Then it is proved that there is a separable, countably compact T\(_2\)-group that is not absolutely countably compact (if \(2^{\omega}<2^{\omega_1}\) and \(2^{\omega_1}\) is sequentially compact, then the group can be constructed sequentially compact).
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