Density topology on R is not a Borel subset of its Stone-Čech compactification (Q1069166)
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scientific article; zbMATH DE number 3933996
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Density topology on R is not a Borel subset of its Stone-Čech compactification |
scientific article; zbMATH DE number 3933996 |
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Density topology on R is not a Borel subset of its Stone-Čech compactification (English)
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1985
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R with density topology is known as a pseudo-complete, regularly cocompact, strongly \(\alpha\)-favourable Baire space. It is shown here that it is not a Borel subset of its Stone-Čech compactification. It is also not \(\sigma\)-compact and behaves feebly with Čech- completeness property.
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density topology
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strongly \(\alpha \) -favourable Baire space
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Borel subset
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Stone-Čech compactification
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Čech-completeness property
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0.84390736
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0.8395456
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0.8376042
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0.83445257
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0.83413166
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0.83400834
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