Symmetric products of generalized metric spaces (Q281701)
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scientific article; zbMATH DE number 6579163
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetric products of generalized metric spaces |
scientific article; zbMATH DE number 6579163 |
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Symmetric products of generalized metric spaces (English)
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11 May 2016
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Let \(X\) be a topological space. Define \(\mathcal{F}_n(X)\) as the space of subsets of \(X\) with at most \(n\) points endowed with the Vietoris topology. The authors study various topological properties of the space \(\mathcal{F}_n(X)\) in relation with the properties of the underlying space \(X\).
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\(ccc\)-space
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Fréchet space
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\(G_\delta\)-diagonal
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\(g\)-function
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generalized metric space
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hyperspace
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monotonically normal space
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stratifiable space
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symmetric product
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