Cauchy symmetric spaces with point-countable \(cs\)-networks (Q502199)
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scientific article; zbMATH DE number 6669963
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cauchy symmetric spaces with point-countable \(cs\)-networks |
scientific article; zbMATH DE number 6669963 |
Statements
Cauchy symmetric spaces with point-countable \(cs\)-networks (English)
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3 January 2017
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In this paper the author mainly discusses the property of Cauchy symmetric spaces having a point-countable \(cs\)-network and proves that the following are equivalent: (a)\, \(X\) is a Cauchy symmetric space having a point-countable \(cs\)-network; (b)\, \(X\) is a 1-sequence-covering compact-covering quotient \(\pi\), \(s\)-image of a metric space; (c)\, \(X\) is a sequence-covering quotient \(\pi\), \(s\)-image of a metric space.
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Cauchy symmetric space
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\(\sigma\)-strong network
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\(cs\)-network
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point-countable family
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\(\pi\)-map
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\(s\)-map
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1-sequence-covering map
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0.9288827
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0.8926029
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0.88907486
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0.8887409
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0.8877392
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