Compactoid filters and USCO maps. (Q1399878)
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scientific article; zbMATH DE number 1957252
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compactoid filters and USCO maps. |
scientific article; zbMATH DE number 1957252 |
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Compactoid filters and USCO maps. (English)
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30 July 2003
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A filter of subsets of a topological space is called compactoid if every finer ultrafilter converges. The authors collect several properties and characterizations of compactoid filters. They give some applications -- for example to the construction of usco and minimal usco mappings, and to the stability of K-analytic spaces with respect to certain mappings.
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compactoid filter
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countably compactoid filter
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usco map
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minimal usco map
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K-analytic space
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