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arxiv: 1711.01995 · v1 · pith:WGQLQTWXnew · submitted 2017-11-06 · 🧮 math.AT

Double Homotopy (Co)Limits for Relative Categories

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keywords categorieshomotopylimitsequivalencesweakallowanswerassume
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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.

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