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Description for Model Categories
Paperback. Model categories are used as a tool for inverting certain maps in a category in a controllable manner. They are useful in diverse areas of mathematics. This book offers a comprehensive study of the relationship between a model category and its homotopy category. It develops the theory of model categories, giving a development of the main examples. Series: Mathematical Surveys and Monographs. Num Pages: 209 pages, Illustrations. BIC Classification: PB. Category: (UU) Undergraduate. Dimension: 180 x 252 x 12. Weight in Grams: 406.
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. ... Read more
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. ... Read more
Product Details
Format
Paperback
Publication date
2007
Publisher
American Mathematical Society United States
Number of pages
209
Condition
New
Series
Mathematical Surveys and Monographs
Number of Pages
209
Place of Publication
Providence, United States
ISBN
9780821843611
SKU
V9780821843611
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Mark Hovey
Mark Hovey is at Wesleyan University, Middletown, , USA.
Reviews for Model Categories
[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 ... Read more