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arXiv · 1612.03800

Localizing infinity-categories with hypercovers

Joost Nuiten
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Abstract

Given an $\infty$-category with a set of weak equivalences which is stable under pullback, we show that the mapping spaces of the corresponding localization can be described as group completions of $\infty$-categories of spans. Furthermore, we show how these $\infty$-categories of spans are the mapping objects of an $(\infty, 2)$-category, which yields a Segal space model for the localization after a Kan fibrant replacement.

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Joost Nuiten. 2016-12-12. Localizing infinity-categories with hypercovers. https://arxiv.org/abs/1612.03800

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