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Higher Topos Theory
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  • Title Higher Topos Theory
  • Author(s) Jacob Lurie
  • Publisher: Princeton University Press (July 26, 2009)
  • Permission: Link to the draft at author's homepage
  • Paperback 944 pages
  • eBook PDF (Files)949 pages)
  • Language: English
  • ISBN-10: 0691140499
  • ISBN-13: 978-0691140490
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Book Description

Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible.

This book presents the foundations of this theory, using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language. The result is a powerful theory with applications in many areas of mathematics.

About the Authors
  • Jacob Lurie is associate professor of mathematics at Massachusetts Institute of Technology.
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