Open localizations (Q1181456)
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scientific article; zbMATH DE number 28324
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Open localizations |
scientific article; zbMATH DE number 28324 |
Statements
Open localizations (English)
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27 June 1992
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Essential localizations, as introduced by \textit{G. M. Kelly} and \textit{F. W. Lawvere} [Bull. Soc. Math. Belg., Sér. A 41, 289-319 (1989; Zbl 0686.18005)] are full, reflective subcategories whose reflector has a left adjoint and is left exact. The paper gives conditions on essential localizations of a topos to be open, and concludes that all open localizations constitute a locale.
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essential localizations of a topos
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open localizations
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locale
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