On Borel measures in non-separable metric spaces (Q1079683)
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scientific article; zbMATH DE number 3964287
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Borel measures in non-separable metric spaces |
scientific article; zbMATH DE number 3964287 |
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On Borel measures in non-separable metric spaces (English)
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1983
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The authors give a slightly simplified proof of the following theorem: Let E be a metric space whose topological weight is not a real-valued measurable cardinal. Then any \(\sigma\)-finite, \(\sigma\)-additive Borel measure on E is concentrated on a closed separable subset. Several applications are discussed.
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metric space
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\(\sigma \) -additive Borel measure
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