Adjointness in descent theory (Q678831)
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scientific article; zbMATH DE number 1004391
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Adjointness in descent theory |
scientific article; zbMATH DE number 1004391 |
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Adjointness in descent theory (English)
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4 September 1997
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Every functor is isomorphic to a composite of a functor which is essentially surjective on objects and a functor which is full and faithful. The abstraction of this to a factorization system in a bicategory was a basic ingredient of the reviewer's paper [``Characterization of bicategories of stacks'', Lect. Notes Math. 962, 282-291 (1982; Zbl 0495.18007)], where the notion of kernel was made unduly ornate. A simpler kernel related to lax descent is sufficient. The present paper can be seen as a development of these ideas with emphasis on the biadjunction between kernel and quotient operations.
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essentially surjective
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factorization system
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bicategory
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lax descent
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0.8879429
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0.87369436
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0.87165934
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