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Homotopy Limit Functors On Model Categories And Homotopical Categories (Mathematical Surveys and Monographs)

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Published by American Mathematical Society .
Written in English

Subjects:

  • Algebra,
  • General,
  • Mathematics,
  • Homotopy theory,
  • Science/Mathematics

Book details:

Edition Notes

ContributionsWilliam G. Dwyer (Editor)
The Physical Object
FormatHardcover
Number of Pages181
ID Numbers
Open LibraryOL11420170M
ISBN 100821837036
ISBN 109780821837030

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Homotopy Limit Functors on Model Categories and Homotopical Categories - Ebook written by William G. Dwyer. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Homotopy Limit Functors on Model Categories and Homotopical Categories. Homotopy limit functors on model categories and homotopical categories William G. Dwyer, Philip S. Hirschhorn, Daniel M. Kan, Jeffrey H. Smith The purpose of this monograph, which is aimed at the graduate level and beyond, is to obtain a deeper understanding of Quillen's model categories.   Homotopy Limit Functors on Model Categories and Homotopical Categories by William G. Dwyer, , available at Book Depository with free delivery worldwide. The authors' approach is to define the notion of a homotopical category, which is more general than that of a model category, and to consider model categories as special cases of this. A homotopical category is a category with only a single distinguished class of maps, called weak equivalences, subject to an appropriate axiom.

Homotopy Limit Functors on Model Categories and Homotopical Categories William G. Dwyer Philip S. Hirschhorn Daniel M. Kan Jeffrey H. Smith Department of Mathematics, University of Notre Dame, Notre Dame, IN E-mail address: [email protected] Department of Mathematics, Wellesley College, Wellesley, MA E-mail address: [email protected] Homotopy Limit Functors on Model Categories and Homotopical Categories, William G. Dwyer, Philip S. Hirschhorn, Daniel M. Kan, Jeffrey H. Smith books.   3. Model category presentations of homotopical categories 7 Model category structures via weak factorization systems 8 On functoriality of factorizations 12 The homotopy relation on arrows 13 The homotopy category of a model category 17 Quillen’s model structure on simplicial sets 19 4. Derived functors between model. chapter is to de ne the 2-categoryof model categories and show that the homotopy category is part of a pseudofunctor from model categories to categories. This is a fancy way, fully explained in Section , to say that not only can one take the homotopy category of a model category.

Scopri Homotopy Limit Functors on Model Categories and Homotopical Categories di William G. Dwyer, Philip S. Hirschhorn, Daniel M. Kan, Jeffrey H. Smith: spedizione gratuita per i clienti Prime e per ordini a partire da 29€ spediti da : Copertina flessibile. Get this from a library! Homotopy limit functors on model categories and homotopical categories. [William G Dwyer;] -- "The purpose of this monograph, which is aimed at the graduate level and beyond, is to obtain a deeper understanding of Quillen's model categories. A model category is a category together with three. 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. Part I Model Categories 1 Slightly unconventional terminology 3 Problems involving the homotopy category 5 Problem involving the homotopy colimit functors 8 The emergence of the current monograph 11 --Chapter II Model Categories and Their Homotopy Categories 19 Categorical and homotopical preliminaries 22 Model.