Remarks on exactness notions pertaining to pushouts (Q2884481)
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scientific article; zbMATH DE number 6039026
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on exactness notions pertaining to pushouts |
scientific article; zbMATH DE number 6039026 |
Statements
29 May 2012
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exactness
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pushout
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difunctional relation
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Grothendieck topos
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math.CT
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0.8381892
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0.81806076
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0.8054744
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0.80457205
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0.8043082
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Remarks on exactness notions pertaining to pushouts (English)
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There are introduced diexact categories which precisely capture the compatibilities between finite limits and pushouts of difunctional relations that hold in any Grothendieck topos. A finitely complete category is diexact iff it is exact and adhesive and it is a pretopos iff it is diexcat with a strict initial object.
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