On the solution of a problem of Okuyama (Q1088185)
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scientific article; zbMATH DE number 3990343
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the solution of a problem of Okuyama |
scientific article; zbMATH DE number 3990343 |
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On the solution of a problem of Okuyama (English)
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1986
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\textit{A. Okuyama} [Pac. J. Math. 42, 485-495 (1972; Zbl 0219.54018)] asked whether every perfect \(\Sigma^{\#}\)-space is a \(\Sigma\)-space. The author shows that every perfect strong \(\Sigma^{\#}\)-space is a strong \(\Sigma\)-space, which gives under MA\(+\neg CH\) a positive answer to the above question.
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closed \(\sigma \)-conservative cover \(T_ 0\)-separating the points
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perfect strong \(\Sigma ^{\#}\)-space
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\(\Sigma \)-space
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\(MA+\neg CH\)
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0.88302976
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0.88273406
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0.8827337
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