A characterization of quasi-toposes (Q1176678)
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scientific article; zbMATH DE number 12373
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of quasi-toposes |
scientific article; zbMATH DE number 12373 |
Statements
A characterization of quasi-toposes (English)
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25 June 1992
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Categories of separated objects for a Lawvere-Tierney topology on a Grothendieck topos are characterized as those locally-presentable locally-cartesian-closed categories in which strong equivalence relations are effective. Counterexamples are produced to show that the last clause of the characterization is necessary. This solves a problem of 12 years standing.
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quasi-topos
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locally presentable category
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separated objects
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Lawvere- Tierney topology
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Grothendieck topos
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locally-cartesian-closed categories
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