%0 Journal Article
%T Stable Infinity Categories
%A Jacob Lurie
%J Mathematics
%D 2006
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0608228v5