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Homotopy theory of higher categories...

Simpson, Carlos, (1962-)

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Homotopy theory of higher categories : = from segal categories to n-categories and beyond /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Homotopy theory of higher categories :/ Carlos Simpson.
Reminder of title:	from segal categories to n-categories and beyond /
Author:	Simpson, Carlos,
Published:	Cambridge ;Cambridge University Press, : c2012.,
Description:	xviii, 634 p. :ill. ;24 cm.
Subject:	Homotopy theory. -
Online resource:	http://assets.cambridge.org/97805215/16952/cover/9780521516952.jpg
ISBN:	9780521516952 (hbk.) :

Homotopy theory of higher categories : = from segal categories to n-categories and beyond /
Simpson, Carlos,1962-

Homotopy theory of higher categories :from segal categories to n-categories and beyond /Carlos Simpson. - Cambridge ;Cambridge University Press,c2012. - xviii, 634 p. :ill. ;24 cm. - New mathematical monographs ;19. - New mathematical monographs ;13..

Includes bibliographical references (p. [618]-629) and index.

"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"--

ISBN: 9780521516952 (hbk.) :US105.00

LCCN: 2011026520Subjects--Topical Terms:

604501
Homotopy theory.

LC Class. No.: QA612.7 / .S56 2012

Dewey Class. No.: 512/.62

Homotopy theory of higher categories : = from segal categories to n-categories and beyond /
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010 $a 2011026520
020 $a 9780521516952 (hbk.) : $c US105.00
020 $a 0521516951 (hbk.)
035 $a AS-BW-101-N-06
040 $a DLC $c DLC $d YDXCP $d CDX $d C#P $d NLE $d BWX $d IUL $d DLC
050 0 0 $a QA612.7 $b .S56 2012
082 0 0 $a 512/.62 $2 23
090 $a QA/612.7/.S56/2012//////W0161232
100 1 $a Simpson, Carlos, $d 1962- $3 1535982
245 1 0 $a Homotopy theory of higher categories : $b from segal categories to n-categories and beyond / $c Carlos Simpson.
260 # $a Cambridge ; $a New York : $b Cambridge University Press, $c c2012.
300 $a xviii, 634 p. : $b ill. ; $c 24 cm.
490 1 0 $a New mathematical monographs ; $v 19
504 $a Includes bibliographical references (p. [618]-629) and index.
520 # $a "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"-- $c Provided by publisher.
650 # 0 $a Homotopy theory. $3 604501
650 # 0 $a Categories (Mathematics) $3 525955
650 # 7 $a MATHEMATICS / Topology. $2 bisacsh $3 1535983
830 0 $a New mathematical monographs ; $v 13. $3 1232924
856 4 2 $3 Cover image $u http://assets.cambridge.org/97805215/16952/cover/9780521516952.jpg