TRANSFINITE LIMITS IN TOPOS THEORY

Kerz, Moritz (2016) TRANSFINITE LIMITS IN TOPOS THEORY. THEORY AND APPLICATIONS OF CATEGORIES, 31. pp. 175-200. ISSN 1201-561X,

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Abstract

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-kale topology.

Item Type: Article
Uncontrolled Keywords: CYCLIC HOMOLOGY; topos theory; pro-etale topology
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Moritz Kerz
Depositing User: Dr. Gernot Deinzer
Date Deposited: 01 Mar 2019 12:36
Last Modified: 06 Mar 2019 08:32
URI: https://pred.uni-regensburg.de/id/eprint/2173

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