arXiv:1711.01995 Abstract | arXiv Analytics

arXiv:1711.01995 [math.AT]Abstract References Reviews Resources

Double Homotopy (Co)Limits for Relative Categories

Published 2017-11-06Version 1

We answer the question to what extent homotopy (co)limits in categories with weak equivalences allow for a Fubini-type interchange law. The main obstacle is that we do not assume our categories with weak equivalences to come equipped with a calculus for homotopy (co)limits, such as a derivator.

Comments: 34 pages

Categories: math.AT

Subjects: 55U35, 18A30, 18A40, 18G10, 18G55

Keywords: relative categories, double homotopy, weak equivalences, fubini-type interchange law, extent homotopy

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