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Higher Topos Theory

Jacob Lurie
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Abstract

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 this theory to the study of higher versions of Grothendieck topoi. A few applications to classical topology are included.

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Jacob Lurie. 2008-07-31. Higher Topos Theory. https://arxiv.org/abs/math/0608040

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