Bornological convergences (Q1883372)
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scientific article; zbMATH DE number 2107219
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bornological convergences |
scientific article; zbMATH DE number 2107219 |
Statements
Bornological convergences (English)
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12 October 2004
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The authors consider some special topologies of hyperspaces based on so-called bornologies. A bornology on a set \(X\) is a family \(\mathcal S\) of subsets of \(X\) such that: \(\mathcal S\) is a cover of \(X\), \(\mathcal S\) is closed under subsets and \(\mathcal S\) is closed under finite unions.
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hyperspace
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convergence
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cover
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bornology
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pretopology
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Hausdorff metric
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uniform structure
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totally bound set
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