\(M_ 3\)-spaces whose every point has a closure preserving outer base are \(M_ 1\) (Q1059882)
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scientific article; zbMATH DE number 3905424
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(M_ 3\)-spaces whose every point has a closure preserving outer base are \(M_ 1\) |
scientific article; zbMATH DE number 3905424 |
Statements
\(M_ 3\)-spaces whose every point has a closure preserving outer base are \(M_ 1\) (English)
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1985
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The main result of this interesting paper is mentioned in the title. It implies that every Nagata space is an \(M_ 1\)-space. Thus, if there exists a stratifiable space which is not \(M_ 1\), it cannot be first countable.
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closure preserving outer base
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\(M_ 3\)-space
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Nagata space
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\(M_ 1\)- space
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stratifiable space
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0.7979108
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0.78977436
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