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Transfinite limits in topos theory
Theory and applications of categories, Tome 31 (2016), pp. 175-200 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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For a coherent site we construct a canonically associated enlarged coherent site, such that cohomology of bounded below complexes is preserved by the enlargement. In the topos associated to the enlarged site transfinite compositions of epimorphisms are epimorphisms and a weak analog of the concept of the algebraic closure exists. The construction is a variant of the work of Bhatt and Scholze on the pro-etale topology.

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Classification : 18F10, 18F20
Keywords: topos theory, pro-etale topology 
@article{TAC_2016_31_a6,
     author = {Moritz Kerz},
     title = {Transfinite limits in topos theory},
     journal = {Theory and applications of categories},
     pages = {175--200},
     year = {2016},
     volume = {31},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2016_31_a6/}
}
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Moritz Kerz. Transfinite limits in topos theory. Theory and applications of categories, Tome 31 (2016), pp. 175-200. http://geodesic.mathdoc.fr/item/TAC_2016_31_a6/