Discretely weak \(P\)-sets (Q1009735)
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scientific article; zbMATH DE number 5539511
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discretely weak \(P\)-sets |
scientific article; zbMATH DE number 5539511 |
Statements
Discretely weak \(P\)-sets (English)
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3 April 2009
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A subset \(S\subset X\) is a discretely weak P-set if it is nowhere dense and closed and \(S\cap\overline{C}=\varnothing\) for each countable \(C\subset X\setminus S\). It is shown that in the presence of \textsl{CH} the Čech-Stone remainder of the natural numbers cannot be covered by discretely weak P-sets.
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weak \(P\)-set
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discretely weak \(P\)-set
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Stone-Čech compactification
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continuum hypothesis
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covering
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nowhere dense closed sets
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