Monotone normality and compactness (Q675123)
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scientific article; zbMATH DE number 987924
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monotone normality and compactness |
scientific article; zbMATH DE number 987924 |
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Monotone normality and compactness (English)
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9 November 1997
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The author constructs two spaces which provide negative answers for several well-known questions about monotonically normal spaces. Example 1. In ZFC, there exists a locally compact monotonically normal space such that none of its compactifications is monotonically normal. Example 2. In \(\text{ZFC}+ \diamondsuit\), there exists a compact \(K_1\)-space which is not \(K_0\).
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monotonically normal space
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