Model Categories (Mathematical Surveys and Monographs)

5 avg rating
( 1 ratings by Goodreads )
 
9780821843611: Model Categories (Mathematical Surveys and Monographs)
View all copies of this ISBN edition:
 
 

[The book] starts with an account of the definitions, and a development of the homotopy theory of model categories. This is probably the first time in which the important notion of cofibrant generation has appeared in a book, and the consideration of the 2-category of model categories and Quillen adjunctions is another interesting feature. --Bulletin of the London Mathematical Society Model categories are used as a tool for inverting certain maps in a category in a controllable manner. As such, they are useful in diverse areas of mathematics. The list of such areas is continually growing. This book is a comprehensive study of the relationship between a model category and its homotopy category. The author develops the theory of model categories, giving a careful development of the main examples. One highlight of the theory is a proof that the homotopy category of any model category is naturally a closed module over the homotopy category of simplicial sets. Little is required of the reader beyond some category theory and set theory, which makes the book accessible to advanced graduate students. The book begins with the basic theory of model categories and proceeds to a careful exposition of the main examples, using the theory of cofibrantly generated model categories. It then develops the general theory more fully, showing in particular that the homotopy category of any model category is a module over the homotopy category of simplicial sets, in an appropriate sense. This leads to a simplification and generalization of the loop and suspension functors in the homotopy category of a pointed model category. The book concludes with a discussion of the stable case, where the homotopy category is triangulated in a strong sense and has a set of small weak generators.

"synopsis" may belong to another edition of this title.

About the Author:

Mark Hovey is at Wesleyan University, Middletown, , USA.

Review:

[The book] starts with an account of the definitions, and a development of the homotopy theory of model categories. This is probably the first time in which the important notion of cofibrant generation has appeared in a book, and the consideration of the 2-category of model categories and Quillen adjunctions is another interesting feature. Bulletin of the London Mathematical Society

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9780821813591: Model Categories (Mathematical Surveys & Monographs)

Featured Edition

ISBN 10:  0821813595 ISBN 13:  9780821813591
Publisher: Amer Mathematical Society, 1998
Hardcover

Top Search Results from the AbeBooks Marketplace

1.

Mark Hovey
Published by American Mathematical Society (2007)
ISBN 10: 0821843613 ISBN 13: 9780821843611
New Paperback Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description American Mathematical Society, 2007. Paperback. Condition: New. Seller Inventory # DADAX0821843613

More information about this seller | Contact this seller

Buy New
US$ 84.42
Convert currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, rates & speeds

2.

Mark Hovey
Published by American Mathematical Society (2007)
ISBN 10: 0821843613 ISBN 13: 9780821843611
New Softcover Quantity Available: 1
Seller:
Irish Booksellers
(Portland, ME, U.S.A.)
Rating
[?]

Book Description American Mathematical Society, 2007. Condition: New. book. Seller Inventory # MB011SJC1YY

More information about this seller | Contact this seller

Buy New
US$ 106.87
Convert currency

Add to Basket

Shipping: US$ 3.27
Within U.S.A.
Destination, rates & speeds

3.

Mark Hovey
Published by American Mathematical Society (2007)
ISBN 10: 0821843613 ISBN 13: 9780821843611
New Paperback Quantity Available: 1
Seller:
Books Express
(Portsmouth, NH, U.S.A.)
Rating
[?]

Book Description American Mathematical Society, 2007. Paperback. Condition: New. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. Buy with confidence, excellent customer service!. Seller Inventory # 0821843613n

More information about this seller | Contact this seller

Buy New
US$ 261.78
Convert currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, rates & speeds