The Resource Categorical homotopy theory, Emily Riehl, Harvard University

Categorical homotopy theory, Emily Riehl, Harvard University

Label
Categorical homotopy theory
Title
Categorical homotopy theory
Statement of responsibility
Emily Riehl, Harvard University
Creator
Author
Subject
Language
eng
Summary
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
Member of
Cataloging source
UkCbUP
http://library.link/vocab/creatorName
Riehl, Emily
Dewey number
514/.24
Index
index present
LC call number
QA612.7
LC item number
.R45 2014
Literary form
non fiction
Nature of contents
dictionaries
Series statement
New mathematical monographs
Series volume
24
http://library.link/vocab/subjectName
  • Homotopy theory
  • Algebra, Homological
Label
Categorical homotopy theory, Emily Riehl, Harvard University
Link
https://doi.org/10.1017/CBO9781107261457
Instantiates
Publication
Note
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Extent
1 online resource (xviii, 352 pages)
Form of item
online
Isbn
9781107261457
Isbn Type
(ebook)
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
digital, PDF file(s).
Specific material designation
remote
System control number
(UkCbUP)CR9781107261457
Label
Categorical homotopy theory, Emily Riehl, Harvard University
Link
https://doi.org/10.1017/CBO9781107261457
Publication
Note
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Extent
1 online resource (xviii, 352 pages)
Form of item
online
Isbn
9781107261457
Isbn Type
(ebook)
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
digital, PDF file(s).
Specific material designation
remote
System control number
(UkCbUP)CR9781107261457

Library Locations

  • Architecture LibraryBorrow it
    Gould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US
    35.205706 -97.445050
  • Bizzell Memorial LibraryBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Boorstin CollectionBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Chinese Literature Translation ArchiveBorrow it
    401 W. Brooks St., RM 414, Norman, OK, 73019, US
    35.207487 -97.447906
  • Engineering LibraryBorrow it
    Felgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US
    35.205706 -97.445050
  • Fine Arts LibraryBorrow it
    Catlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US
    35.210371 -97.448244
  • Harry W. Bass Business History CollectionBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • History of Science CollectionsBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • John and Mary Nichols Rare Books and Special CollectionsBorrow it
    401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • Library Service CenterBorrow it
    2601 Technology Place, Norman, OK, 73019, US
    35.185561 -97.398361
  • Price College Digital LibraryBorrow it
    Adams Hall 102 307 West Brooks St., Norman, OK, 73019, US
    35.210371 -97.448244
  • Western History CollectionsBorrow it
    Monnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US
    35.209584 -97.445414
Processing Feedback ...