arXiv:1411.0303 Abstract | arXiv Analytics

arXiv:1411.0303 [math.AT]Abstract References Reviews Resources

Two Models for the Homotopy Theory of Cocomplete Homotopy Theories

Published 2014-11-02Version 1

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.

Categories: math.AT, math.CT

Subjects: 55U35, 18G55

Keywords: homotopy theory, cocomplete homotopy theories, explicit equivalence, cofibration categories

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