Homotopy theory of cocomplete quasicategories

Szumiło, Karol

doi:10.2140/agt.2017.17.765

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Homotopy theory of cocomplete quasicategories

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Szumiło, Karol
Max Planck Institute for Mathematics, Max Planck Society;

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Szumiło, K. (2017). Homotopy theory of cocomplete quasicategories. Algebraic & Geometric Topology, 17(2), 765-791. doi:10.2140/agt.2017.17.765.

Cite as: https://hdl.handle.net/21.11116/0000-0004-8EB9-C

Abstract

We prove that the homotopy theory of cocomplete quasicategories is equivalent to
the homotopy theory of cofibration categories. This is achieved by presenting both theories as fibration categories and constructing an explicit exact equivalence between them.