Parametrized higher category theory II: Universal constructions

Published 24 Sep 2021 in math.CT and math.AT | (2109.11954v2)

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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Authors (1)

Jay Shah

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