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arXiv · 1611.02267

Topoi of parametrized objects

Marc Hoyois
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Abstract

We give necessary and sufficient conditions on a presentable infinity-category C so that families of objects of C form an infinity-topos. In particular, we prove a conjecture of Joyal that this is the case whenever C is stable.

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Marc Hoyois. 2019-04-21. Topoi of parametrized objects. https://arxiv.org/abs/1611.02267

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