The regular-locally compact coreflection of a stably locally compact locale (Q5928473)
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scientific article; zbMATH DE number 1582714
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The regular-locally compact coreflection of a stably locally compact locale |
scientific article; zbMATH DE number 1582714 |
Statements
The regular-locally compact coreflection of a stably locally compact locale (English)
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19 November 2001
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Via the frame of Scott continuous nuclei the author shows that (i) the category of regular locally compact locales and perfect maps appears as a coreflective subcategory of the category of stably locally compact locales and perfect maps; (ii) the category of compact regular locales and continuous maps appears as a coreflective subcategory of the category of stably compact locales and perfect maps; and (iii) the category of Stone locales and continuous maps appears as a coreflective subcategory of the category of spectral locales and perfect maps.
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nucleus
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patch frame
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locale
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regular locally compact locale
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stably locally compact locale
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Stone locale
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stably compact locale
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spectral locale
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patch construction
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perfect map
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category
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coreflective subcategory
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continuous maps
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