Parametrized higher category theory II: Universal constructions
Category Theory
2022-01-11 v2 Algebraic Topology
Abstract
We develop parametrized generalizations of a number of fundamental concepts in the theory of -categories, including factorization systems, free fibrations, exponentiable fibrations, relative colimits and relative Kan extensions, filtered and sifted diagrams, and the universal constructions Ind and .
Keywords
Cite
@article{arxiv.2109.11954,
title = {Parametrized higher category theory II: Universal constructions},
author = {Jay Shah},
journal= {arXiv preprint arXiv:2109.11954},
year = {2022}
}
Comments
42 pages. v2: added reference to Hinich's work on promonoidal Day convolution