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math.CT2006★ 28 cited
Stable Infinity Categories
Jacob Lurie
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 col…
math.CT2006★ 1.1k cited
Higher Topos Theory
Jacob Lurie
This purpose of this book is twofold: to provide a general introduction to higher category theory (using the formalism of "quasicategories" or "weak Kan complexes"), and to apply t…