Description: Homotopy Theory of Higher Categories : From Segal Categories to N-categories and Beyond, Hardcover by Simpson, Carlos, ISBN 0521516951, ISBN-13 9780521516952, Brand New, Free P&P in the UK "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 readabl, 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"--
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Book Title: Homotopy Theory of Higher Categories : From Segal Categories to N
Number of Pages: 652 Pages
Publication Name: Homotopy Theory of Higher Categories: from Segal Categories to N-Categories and Beyond
Language: English
Publisher: Cambridge University Press
Item Height: 235 mm
Subject: Mathematics
Publication Year: 2011
Type: Textbook
Item Weight: 1050 g
Author: Carlos Simpson
Item Width: 158 mm
Series: New Mathematical Monographs
Format: Hardcover
