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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 /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Homotopy theory of higher categories :/ Carlos Simpson.
其他題名:	from segal categories to n-categories and beyond /
作者:	Simpson, Carlos,
出版者:	Cambridge ;Cambridge University Press, : c2012.,
面頁冊數:	xviii, 634 p. :ill. ;24 cm.
標題:	Homotopy theory. -
電子資源:	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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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
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650 # 7 $a MATHEMATICS / Topology. $2 bisacsh $3 1535983
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