Higher Topos Theory

Details Higher Topos Theory Higher Topos Theory

2006-08-02

arxiv.org/abs/math/0608040v4

Mathematics

Category Theory

735 pages. An updated and expanded version of the earlier submission math.CT/0306109 2/10/07: Various minor additions and corr

Scientific paper

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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