On quasi-size functions (Q580764)
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scientific article; zbMATH DE number 4017862
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On quasi-size functions |
scientific article; zbMATH DE number 4017862 |
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On quasi-size functions (English)
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1987
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We introduce the notion of quasi-size function and quasi-sizable space as a generalization of Fora's sizable spaces. However we prove that for a space X are equivalent: (i) X is quasi-sizable, (ii) X is sizable, (iii) X is submetrizable. We also obtain a metrization theorem in terms of quasi-size functions.
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quasi-size function
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quasi-sizable space
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