P-Räume und Auswahlaxiom (Q793377)
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scientific article; zbMATH DE number 3855956
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | P-Räume und Auswahlaxiom |
scientific article; zbMATH DE number 3855956 |
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P-Räume und Auswahlaxiom (English)
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1984
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X is a P-space if the intersection of any well-orderable family of open sets is open. The assertion that each P-space is discrete is equivalent to Kreisler's axiom that each set is almost well-orderable. In models of ZF minus the axiom of choice there exist compact connected P-spaces.
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almost well-orderable set
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Kreisler's axiom
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compact connected P-spaces
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