Local compactness in approach spaces. II (Q1864262)
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scientific article; zbMATH DE number 1883661
| Language | Label | Description | Also known as |
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| English | Local compactness in approach spaces. II |
scientific article; zbMATH DE number 1883661 |
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Local compactness in approach spaces. II (English)
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17 March 2003
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Various kinds of local compactness for approach spaces were introduced in a previous paper by the authors [Int. J. Math. Math. Sci. 21, No 3. 429--438 (1998; Zbl 0906.54020)]. In the present paper, they define an analogy of open maps for approach spaces, called expansions. It is proved that every expansive contractive image of any locally compact approach space is locally compact of the same kind. Locally compact products are characterized similarly as in topological spaces.
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locally compact
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approach space
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open map
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product
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