Higher Topos Theory

Ebook Details


Jacob Lurie

Year 2009
Pages 944
Publisher Princeton University Press
Language en
ISBN 9780691140490
File Size 3.59 MB
File Format PDF
Download Counter 103
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Ebook 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. In Higher Topos Theory, Jacob Lurie 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.