Subsets of \(C^*(X)\) generating compactifications (Q1109365)
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scientific article; zbMATH DE number 4069800
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subsets of \(C^*(X)\) generating compactifications |
scientific article; zbMATH DE number 4069800 |
Statements
Subsets of \(C^*(X)\) generating compactifications (English)
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1988
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From author's summary: ``The purpose of this paper is to characterize those subsets of \(C^*(X)\) which generate compactifications of X. A number of necessary and sufficient conditions for two subsets of \(C^*(X)\) to generate the same compactification are given. A certain assertion is shown to be equivalent to the continuum hypothesis. Another assertion is shown to be equivalent to the condition: \(n^{\aleph_ 0}=n\) whenever \(cf(n)>\aleph_ 0.''\)
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continuum hypothesis
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