skip to content
Categorical homotopy theory Preview this item
ClosePreview this item
Checking...

Categorical homotopy theory

Author: Emily Riehl
Publisher: New York, NY : Cambridge University Press, 2014.
Series: New mathematical monographs, 24.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This categorical perspective on homotopy theory helps consolidate and simplify one's understanding of derived functors, homotopy limits and colimits, and model categories, among others.

Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Document Type: Book
All Authors / Contributors: Emily Riehl
ISBN: 9781107048454 1107048451
OCLC Number: 866253080
Description: xviii, 352 pages : illustrations ; 24 cm.
Contents: Part I. Derived Functors and Homotopy (Co)limits: 1. All concepts are Kan extensions; 2. Derived functors via deformations; 3. Basic concepts of enriched category theory; 4. The unreasonably effective (co)bar construction; 5. Homotopy limits and colimits: the theory; 6. Homotopy limits and colimits: the practice; Part II. Enriched Homotopy Theory: 7. Weighted limits and colimits; 8. Categorical tools for homotopy (co)limit computations; 9. Weighted homotopy limits and colimits; 10. Derived enrichment; Part III. Model Categories and Weak Factorization Systems: 11. Weak factorization systems in model categories; 12. Algebraic perspectives on the small object argument; 13. Enriched factorizations and enriched lifting properties; 14. A brief tour of Reedy category theory; Part IV. Quasi-Categories: 15. Preliminaries on quasi-categories; 16. Simplicial categories and homotopy coherence; 17. Isomorphisms in quasi-categories; 18. A sampling of 2-categorical aspects of quasi-category theory.
Series Title: New mathematical monographs, 24.
Responsibility: Emily Riehl, Harvard University.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/866253080> # Categorical homotopy theory
    a schema:Book, schema:CreativeWork ;
   library:oclcnum "866253080" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
   schema:about <http://id.worldcat.org/fast/959852> ; # Homotopy theory
   schema:about <http://dewey.info/class/514.24/e23/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/1840236026#Topic/kategorientheorie> ; # Kategorientheorie
   schema:about <http://id.worldcat.org/fast/804927> ; # Algebra, Homological
   schema:about <http://experiment.worldcat.org/entity/work/data/1840236026#Topic/homotopietheorie> ; # Homotopietheorie
   schema:about <http://experiment.worldcat.org/entity/work/data/1840236026#Topic/algebra> ; # Algebra
   schema:bookFormat bgn:PrintBook ;
   schema:creator <http://viaf.org/viaf/305935475> ; # Emily Riehl
   schema:datePublished "2014" ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/1840236026> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/1840236026#Series/new_mathematical_monographs> ; # New mathematical monographs ;
   schema:name "Categorical homotopy theory"@en ;
   schema:productID "866253080" ;
   schema:workExample <http://worldcat.org/isbn/9781107048454> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/866253080> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/1840236026#Series/new_mathematical_monographs> # New mathematical monographs ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/866253080> ; # Categorical homotopy theory
   schema:name "New mathematical monographs ;" ;
    .

<http://id.worldcat.org/fast/804927> # Algebra, Homological
    a schema:Intangible ;
   schema:name "Algebra, Homological"@en ;
    .

<http://id.worldcat.org/fast/959852> # Homotopy theory
    a schema:Intangible ;
   schema:name "Homotopy theory"@en ;
    .

<http://viaf.org/viaf/305935475> # Emily Riehl
    a schema:Person ;
   schema:familyName "Riehl" ;
   schema:givenName "Emily" ;
   schema:name "Emily Riehl" ;
    .

<http://worldcat.org/isbn/9781107048454>
    a schema:ProductModel ;
   schema:isbn "1107048451" ;
   schema:isbn "9781107048454" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.