A hereditarily Čech-complete space that is not \(\sigma\)-discrete (Q689584)
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scientific article; zbMATH DE number 446202
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A hereditarily Čech-complete space that is not \(\sigma\)-discrete |
scientific article; zbMATH DE number 446202 |
Statements
A hereditarily Čech-complete space that is not \(\sigma\)-discrete (English)
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15 November 1993
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It has been known that under \(V=L\), every hereditarily Čech-complete space is \(\sigma\)-discrete [\textit{Z. Balogh} and \textit{H. Junnila}, Proc. Am. Math. Soc. 87, 519-527 (1983; Zbl 0518.54007)]. Answering a question of Z. Balogh, the author constructs a generic extension in which there exists a hereditarily Čech-complete space which is not \(\sigma\)- discrete.
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forcing
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\(Q\)-set
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hereditarily Čech-complete space
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0.740966796875
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0.740966796875
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0.7355969548225403
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0.7266642451286316
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