東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Categorical homotopy theory

Riehl, Emily.

Linked to FindBook

Google Book

Amazon

博客來

Categorical homotopy theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Categorical homotopy theory/ Emily Riehl.
Author:	Riehl, Emily.
Published:	Cambridge :Cambridge University Press, : 2014.,
Description:	xviii, 352 p. :ill., digital ;24 cm.
Subject:	Homotopy theory. -
Online resource:	https://doi.org/10.1017/CBO9781107261457
ISBN:	9781107261457

Categorical homotopy theory
Riehl, Emily.

Categorical homotopy theory[electronic resource] /Emily Riehl. - Cambridge :Cambridge University Press,2014. - xviii, 352 p. :ill., digital ;24 cm. - New mathematical monographs ;24. - New mathematical monographs ;24..

This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by which one typically first encounters homotopy (co)limits: either as derived functors definable when the appropriate diagram categories admit a compatible model structure, or through particular formulae that give the right notion in certain examples. Emily Riehl unifies these seemingly rival perspectives and demonstrates that model structures on diagram categories are irrelevant. Homotopy (co)limits are explained to be a special case of weighted (co)limits, a foundational topic in enriched category theory. In Part II, Riehl further examines this topic, separating categorical arguments from homotopical ones. Part III treats the most ubiquitous axiomatic framework for homotopy theory - Quillen's model categories. Here, Riehl simplifies familiar model categorical lemmas and definitions by focusing on weak factorization systems. Part IV introduces quasi-categories and homotopy coherence.

ISBN: 9781107261457Subjects--Topical Terms:

604501
Homotopy theory.

LC Class. No.: QA612.7 / .R45 2014

Dewey Class. No.: 514.24

Categorical homotopy theory
LDR:01817nmm a2200253 a 4500 001 2186210
003 UkCbUP
005 20151005020624.0
006 m d
007 cr nn 008maaau
008 200117s2014 enk o 1 0 eng d
020 $a 9781107261457 $q (electronic bk.)
020 $a 9781107048454 $q (paper)
035 $a CR9781107261457
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA612.7 $b .R45 2014
082 0 4 $a 514.24 $2 23
090 $a QA612.7 $b .R555 2014
100 1 $a Riehl, Emily. $3 3205535
245 1 0 $a Categorical homotopy theory $h [electronic resource] / $c Emily Riehl.
260 $a Cambridge : $b Cambridge University Press, $c 2014.
300 $a xviii, 352 p. : $b ill., digital ; $c 24 cm.
490 1 $a New mathematical monographs ; $v 24
520 $a This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by which one typically first encounters homotopy (co)limits: either as derived functors definable when the appropriate diagram categories admit a compatible model structure, or through particular formulae that give the right notion in certain examples. Emily Riehl unifies these seemingly rival perspectives and demonstrates that model structures on diagram categories are irrelevant. Homotopy (co)limits are explained to be a special case of weighted (co)limits, a foundational topic in enriched category theory. In Part II, Riehl further examines this topic, separating categorical arguments from homotopical ones. Part III treats the most ubiquitous axiomatic framework for homotopy theory - Quillen's model categories. Here, Riehl simplifies familiar model categorical lemmas and definitions by focusing on weak factorization systems. Part IV introduces quasi-categories and homotopy coherence.
650 0 $a Homotopy theory. $3 604501
650 0 $a Algebra, Homological. $3 663850
830 0 $a New mathematical monographs ; $v 24. $3 3400101
856 4 0 $u https://doi.org/10.1017/CBO9781107261457