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arXiv · 2109.11954

Parametrized higher category theory II: Universal constructions

Jay Shah
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Abstract

We develop parametrized generalizations of a number of fundamental concepts in the theory of $\infty$-categories, including factorization systems, free fibrations, exponentiable fibrations, relative colimits and relative Kan extensions, filtered and sifted diagrams, and the universal constructions Ind and $P^\Sigma$.

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Jay Shah. 2021-09-24. Parametrized higher category theory II: Universal constructions. https://arxiv.org/abs/2109.11954

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