語系:
繁體中文
English
說明(常見問題)
圖資館首頁
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Categorical homotopy theory
~
Riehl, Emily.
Categorical homotopy theory
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Categorical homotopy theoryEmily Riehl.
作者:
Riehl, Emily.
出版者:
Cambridge :Cambridge University Press,2014.
面頁冊數:
xviii, 352 p. :ill., digital ;24 cm.
標題:
Homotopy theory.
電子資源:
https://doi.org/10.1017/CBO9781107261457
ISBN:
9781107261457$q(electronic bk.)
Categorical homotopy theory
Riehl, Emily.
Categorical homotopy theory
[electronic resource] /Emily Riehl. - Cambridge :Cambridge University Press,2014. - xviii, 352 p. :ill., digital ;24 cm. - New mathematical monographs ;24. - New mathematical monographs ;30..
This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by which one typically first encounters homotopy (co)limits: either as derived functors definable when the appropriate diagram categories admit a compatible model structure, or through particular formulae that give the right notion in certain examples. Emily Riehl unifies these seemingly rival perspectives and demonstrates that model structures on diagram categories are irrelevant. Homotopy (co)limits are explained to be a special case of weighted (co)limits, a foundational topic in enriched category theory. In Part II, Riehl further examines this topic, separating categorical arguments from homotopical ones. Part III treats the most ubiquitous axiomatic framework for homotopy theory - Quillen's model categories. Here, Riehl simplifies familiar model categorical lemmas and definitions by focusing on weak factorization systems. Part IV introduces quasi-categories and homotopy coherence.
ISBN: 9781107261457$q(electronic bk.)Subjects--Topical Terms:
209299
Homotopy theory.
LC Class. No.: QA612.7 / .R45 2014
Dewey Class. No.: 514.24
Categorical homotopy theory
LDR
:01817nmm a2200253 a 4500
001
560398
003
UkCbUP
005
20151005020624.0
006
m d
007
cr nn 008maaau
008
200113s2014 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
709095
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
209299
650
0
$a
Algebra, Homological.
$3
275748
830
0
$a
New mathematical monographs ;
$v
30.
$3
767212
856
4 0
$u
https://doi.org/10.1017/CBO9781107261457
筆 0 讀者評論
全部
電子館藏
館藏
1 筆 • 頁數 1 •
1
條碼號
館藏地
館藏流通類別
資料類型
索書號
使用類型
借閱狀態
預約狀態
備註欄
附件
000000172437
電子館藏
1圖書
電子書
EB QA612.7 .R555 2014
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
多媒體檔案
https://doi.org/10.1017/CBO9781107261457
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼
登入