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Reiterman, Jan; Sobral, Manuela; Tholen, Walter

Composites of effective descent maps. (English) Zbl 0792.18001

Cah. Topologie Géom. Différ. Catég. 34, No. 3, 193-207 (1993).
In a category with pullbacks and coequalizers, it is proved that, for any effective descent morphism \(q: E\to X\) and any morphism \(\varphi: X\to B\), descent data with respect to \(\varphi\) are equivalent to descent data with respect to \(\varphi q\). As a consequence, the class of effective descent morphisms is closed under composition.
Reviewer: Y.Diers (Faches-Thumesnil)

Cited in 7 Documents

MSC:

18A20 Epimorphisms, monomorphisms, special classes of morphisms, null morphisms
18C20 Eilenberg-Moore and Kleisli constructions for monads

Keywords:

effective descent morphism; descent data
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\textit{J. Reiterman} et al., Cah. Topologie Géom. Différ. Catégoriques 34, No. 3, 193--207 (1993; Zbl 0792.18001)
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