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books
| book details |
Homotopy Theory of Higher Categories: From Segal Categories to n-Categories and Beyond
By (author) Carlos Simpson
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| on special |
normal price: R 4 352.95
Price: R 4 135.95
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| book 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.
| product details |
Normally shipped |
Publisher | Cambridge University Press
Published date | 20 Oct 2011
Language |
Format | Hardback
Pages | 652
Dimensions | 235 x 158 x 38mm (L x W x H)
Weight | 1050g
ISBN | 978-0-5215-1695-2
Readership Age |
BISAC | mathematics / topology
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