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 ...
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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 generalisation 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.
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Add this copy of Model Categories to cart. $10.15, new condition, Sold by quasifibration rated 4.0 out of 5 stars, ships from Toronto, ON, CANADA, published by American Mathematical Society.
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New. Providence: American Mathematical Society, 2007. New. Providence: American Mathematical Society, 2007. Hard cover. 6. New. No dust jacket. 209 p. Mathematical Surveys and Monographs. Audience: College/higher education. hardcover; a custom print hardcover book; all pages are printed on coated silky paper stock and bound in a perfect binding; bound together with "Homotopy Limit Functors on Model Categories and Homotopical Categories"; has red and white glossy covers; never read.
Add this copy of Model Categories to cart. $10.15, new condition, Sold by quasifibration rated 4.0 out of 5 stars, ships from Toronto, ON, CANADA, published by American Mathematical Society(RI).
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New. American Mathematical Society(RI), 1998. New. American Mathematical Society(RI), 1998. Hard cover. 6. New. No dust jacket. Sewn binding. Cloth over boards. 209 p. Mathematical Surveys and Monographs, 63. hardcover; a custom print hardcover book; all pages are printed on coated silky paper stock and bound in a perfect binding; bound together with "Homotopy Limit Functors on Model Categories and Homotopical Categories"; has red and white glossy covers; never read!
Add this copy of Model Categories to cart. $138.38, new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2007 by American Mathematical Society.
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New. 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. 2007. Paperback.....We ship daily from our Bookshop.
