Proto-metrisable spaces are elastic (Q1365241)
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scientific article; zbMATH DE number 1054144
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Proto-metrisable spaces are elastic |
scientific article; zbMATH DE number 1054144 |
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Proto-metrisable spaces are elastic (English)
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8 February 1998
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The authors introduce various notions of extendable pair-bases and prove, among other results, the following: (1) A space is proto-metrizable if and only if it has a unitary point extendable pair-base and hence proto-metrizable spaces are elastic. (2) Stratifiable spaces have weakly point extendable pair bases. (3) The class of spaces with weakly point extendable pair-bases is closed under the scattering process, and every space with a weakly point extendable pair-base is elastic.
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elastic spaces
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proto-metrizable spaces
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