Model categories and their localizations (Record no. 2363)

000 -LEADER
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003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240923164855.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821849170
040 ## - CATALOGING SOURCE
Transcribing agency Educational Supplies
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA169
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Hirschhorn Philip S.
245 ## - TITLE STATEMENT
Title Model categories and their localizations
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Rhode Island:
Name of publisher, distributor, etc. American Mathematical Society,
Date of publication, distribution, etc. [c2003]
300 ## - Physical Description
Pages: 457 p
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Part 1 . Localization of model category structures<br/>1. Local spaces and localization<br/>2. The localization model category for spaces<br/>3. Localization of model categories<br/>4. Existence of left Bousfield localizations<br/>5. Existence of right Bousfield localizations<br/>6. Fiberwise localization<br/><br/>Part 2. Homotopy theory in model categories<br/>7. Model categories<br/>8. Fibrant and cofibrant approximations<br/>9. Simplicial model categories<br/>10. Ordinals, cardinals, and transfinite composition<br/>11. Cofibrantly generated model categories<br/>12. Cellular model categories<br/>13. Proper model categories<br/>14. The classifying space of a small category<br/>15. The reedy model category structure<br/>16. Cosimplicial and simplicial resolutions<br/>17. Homotopy function complexes<br/>18. Homotopy limits in simplicial model categories<br/>19. Homotopy limits in general model categories<br/><br/>
520 ## - SUMMARY, ETC.
Summary, etc. The aim of this book is to explain modern homotopy theory in a manner accessible to graduate students yet structured so that experts can skip over numerous linear developments to quickly reach the topics of their interest. Homotopy theory arises from choosing a class of maps, called weak equivalences, and then passing to the homotopy category by localizing with respect to the weak equivalences, i.e., by creating a new category in which the weak equivalences are isomorphisms. Quillen defined a model category to be a category together with a class of weak equivalences and additional structure useful for describing the homotopy category in terms of the original category. This allows you to make constructions analogous to those used to study the homotopy theory of topological spaces.--- summary provided by publisher<br/><br/>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 4 02/22/2019 QA169 01701 Book