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Maximal resolvability of some topological spaces - MaRDI portal

Maximal resolvability of some topological spaces (Q1577422)

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scientific article; zbMATH DE number 1501461
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English
Maximal resolvability of some topological spaces
scientific article; zbMATH DE number 1501461

    Statements

    Maximal resolvability of some topological spaces (English)
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    18 June 2001
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    The following spaces are proved to be maximally resolvable (i.e., they contain \(\min\{|G|:G\) open nonvoid\(\}\) disjoint dense subsets): biradial (thus bisequential) spaces, \(\lambda\)-bounded groups with \(\lambda < \text{cof} |G|\) (thus totally bounded groups), free groups on \(X\) with \(dX<|X|\), products \(\Pi\{X_\alpha, \alpha<\kappa\}\) with \(|X_\alpha|=\kappa, 2^{<\kappa}=\kappa\).
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    resolvability
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    topological group
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