Homotopy theory of cocomplete quasicategories

Karol Szumiło

doi:10.2140/agt.2017.17.765

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Home > Journals > Algebr. Geom. Topol. > Volume 17 > Issue 2 > Article

2017 Homotopy theory of cocomplete quasicategories

Karol Szumiło

Algebr. Geom. Topol. 17(2): 765-791 (2017). DOI: 10.2140/agt.2017.17.765

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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.