Transfinite limits in topos theory

Moritz Kerz

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arXiv · 1502.01923

Transfinite limits in topos theory

Moritz Kerz

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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-etale topology.

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BibTeX RIS

Moritz Kerz. 2016-02-02. Transfinite limits in topos theory. https://arxiv.org/abs/1502.01923

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