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Homotopy Theory of Higher Categories on Hardback by Carlos Simpson
Homotopy Theory of Higher Categories on Hardback by Carlos Simpson
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Homotopy Theory of Higher Categories

From Segal Categories to n-Categories and Beyond
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Description

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.

Author Biography:

Carlos Simpson is Directeur de Recherche in the CNRS in Toulouse and Nice, France.
Release date NZ
October 20th, 2011
Audience
  • Professional & Vocational
Illustrations
35 Line drawings, unspecified
Pages
652
Dimensions
158x235x38
ISBN-13
9780521516952
Product ID
10395288

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