On Ginsburg-Isbell derivatives and ranks of metric spaces (Q762796)
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scientific article; zbMATH DE number 3890331
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Ginsburg-Isbell derivatives and ranks of metric spaces |
scientific article; zbMATH DE number 3890331 |
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On Ginsburg-Isbell derivatives and ranks of metric spaces (English)
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1984
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The author considers metric spaces for which there exists a countable ordinal \(\alpha\) such that the \(\alpha\) th successive Ginsburg-Isbell derivative of the metric uniformity contains every open cover of the space. He shows that a separable metric space has this property if, and only if, it is complete and \(\sigma\)-compact.
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complete \(\sigma \) -compact separable metric space
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\(\alpha \) th successive Ginsburg-Isbell derivative
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metric uniformity
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0.86930525
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