Products in the category of locales: Which properties are preserved? (Q1201236)
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scientific article; zbMATH DE number 97488
| Language | Label | Description | Also known as |
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| English | Products in the category of locales: Which properties are preserved? |
scientific article; zbMATH DE number 97488 |
Statements
Products in the category of locales: Which properties are preserved? (English)
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17 January 1993
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The general cover theorem unifies the results concerning products of locales obtained by Isbell, Dowker and Strauss, Johnstone, Kriz. It shows that the product of a family of finitely regular \(F\)-locales in again a finitely regular \(F\)-locale. Several applications are given, concerning known results, to compact locales, compact spaces (Tychonoff product theorem) paracompact locales, prime-metacompact finitely regular locales, \(c\)-compact finitely regular locales, Lindelöf locales, screenable and supercompact locales.
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\(F\)-space
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screenable locales
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general cover theorem
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products of locales
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finitely regular \(F\)-locales
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compact locales
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compact spaces
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paracompact locales
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Lindelöf locales
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supercompact locales
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