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arXiv · 1502.03925

Cocycles in categories of fibrant objects

Zhen Lin Low
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Abstract

We establish that a category of fibrant objects (in the sense of Brown) admits a Dwyer-Kan homotopical calculus of right fractions. This is done using a homotopical calculus of cocycles, which is an auxiliary structure that can be defined on every category of fibrant objects. As an application, we deduce some non-abelian versions of the Verdier hypercovering theorem.

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Zhen Lin Low. 2015-02-13. Cocycles in categories of fibrant objects. https://arxiv.org/abs/1502.03925

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