On the interplay between a topology and its associated Baire and Borel sigma-algebra (Q1117051)
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scientific article; zbMATH DE number 4089835
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the interplay between a topology and its associated Baire and Borel sigma-algebra |
scientific article; zbMATH DE number 4089835 |
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On the interplay between a topology and its associated Baire and Borel sigma-algebra (English)
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1990
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The paper is concerned with two situations where it is possible to deduce properties of a topological space from properties of the associated Baire and Borel \(\sigma\)-algebra, respectively. At first, the relationship between Baire-separated (resp., Baire-dominated) spaces and normal (resp., cb-) spaces is studied. Thereafter, it is shown that, for some classes of topological spaces, metrizability can be characterized by means of certain countability properties of the Baire and Borel \(\sigma\)- algebra.
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Baire-separated space
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Baire-dominated space
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normal space
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topological space
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metrizability
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countability properties
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Baire and Borel sigma- algebra
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0.8961208
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0.89537233
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0.8942687
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0.88704896
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0.8867972
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0.88565093
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