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Homotopy Theory of Higher Categories - From Segal Categories to n-Categories and Beyond (Hardcover) Loot Price: R2,282
Discovery Miles 22 820
Homotopy Theory of Higher Categories - From Segal Categories to n-Categories and Beyond (Hardcover): Carlos Simpson

Homotopy Theory of Higher Categories - From Segal Categories to n-Categories and Beyond (Hardcover)

Carlos Simpson

Series: New Mathematical Monographs

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Loot Price R2,282 Discovery Miles 22 820 | Repayment Terms: R214 pm x 12*

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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.

General

Imprint: Cambridge UniversityPress
Country of origin: United Kingdom
Series: New Mathematical Monographs
Release date: October 2011
First published: October 2011
Authors: Carlos Simpson
Dimensions: 235 x 158 x 38mm (L x W x T)
Format: Hardcover
Pages: 652
ISBN-13: 978-0-521-51695-2
Categories: Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
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LSN: 0-521-51695-1
Barcode: 9780521516952

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