Varieties of coarse spaces (Q2305846)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Varieties of coarse spaces |
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Varieties of coarse spaces (English)
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20 March 2020
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Summary: A class \(\mathfrak{M}\) of coarse spaces is called a variety if \(\mathfrak{M}\) is closed under the formation of subspaces, coarse images, and products. We classify the varieties of coarse spaces and, in particular, show that if a variety \(\mathfrak{M}\) contains an unbounded metric space then \(\mathfrak{M}\) is the variety of all coarse spaces.
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coarse structure
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coarse space
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ballean
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varieties of coarse spaces
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