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arXiv · 1411.0303

Two Models for the Homotopy Theory of Cocomplete Homotopy Theories

Karol Szumiło
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Abstract

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

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Karol Szumiło. 2014-11-02. Two Models for the Homotopy Theory of Cocomplete Homotopy Theories. https://arxiv.org/abs/1411.0303

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