Homotopy Theory of Higher Categories: From Segal Categories to n-Categories and Beyond: 19 (New Mathematical Monographs, Series Number 19) - Image 1

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Cambridge University Press Homotopy Theory of Higher Categories: From Segal Categories to n-Categories and Beyond: 19 (New Mathematical Monographs, Series Number 19)

Name: Homotopy Theory of Higher Categories: From Segal Categories to n-Categories and Beyond: 19 (New Mathematical Monographs, Series Number 19)
Brand: Cambridge University Press
Price: 73.6 GBP
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Algebra

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The study of higher categories is attracting growing interest for its many applications in topology, algebraic geometry, mathematical physics and category theory. In this highly readable book, Carlos Simpson develops a full set of homotopical algebra techniques and proposes a working theory of higher categories. Starting with a cohesive overview of the many different approaches currently used by researchers, the author proceeds with a detailed exposition of one of the most widely used techniques: the construction of a Cartesian Quillen model structure for higher categories. The fully iterative construction applies to enrichment over any Cartesian model category, and yields model categories for weakly associative n-categories and Segal n-categories. A corollary is the construction of higher functor categories which fit together to form the (n+1)-category of n-categories. The approach uses Tamsamani's definition based on Segal's ideas, iterated as in Pelissier's thesis using modern techniques due to Barwick, Bergner, Lurie and others.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 0521516951
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 20 October 2011
Listed Since: 30 September 2010

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Cambridge University Press Homotopy Theory of Higher Categories: From Segal Categories to n-Categories and Beyond: 19 (New Mathematical Monographs, Series Number 19)

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