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Stable Infinity Categories

Jacob Lurie
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Abstract

This paper is an expository account of the theory of stable infinity categories. We prove that the homotopy category of a stable infinity category is triangulated, and that the collection of stable infinity categories is closed under a variety of constructions. We also explain how to construct the derived category of an abelian category (with enough projective objects) as the homotopy category of a suitable stable infinity category; moreover, we characterize this stable infinity category by a universal mapping property.

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Jacob Lurie. 2009-05-08. Stable Infinity Categories. https://arxiv.org/abs/math/0608228

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