Maximal Lindelöf locales (Q2011384)
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scientific article; zbMATH DE number 7140996
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximal Lindelöf locales |
scientific article; zbMATH DE number 7140996 |
Statements
Maximal Lindelöf locales (English)
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6 December 2019
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The author characterizes maximal Lindelöfness for subfit and regular frames in the following terms: (1) A subfit frame is maximal Lindelöf if and only if the closed sublocales of the frame are the only ones that are Lindelöf within the class of sublocales that are joins of closed sublocales. (2) A regular frame is maximal Lindelöf if and only if every join of countably many closed sublocales is closed).
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frame
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subframe
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locale
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sublocale
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maximal-Lindelöf frame
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localic map
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closed localic map
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open localic map
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