Mark Hovey Model Categories

ISBN 13 : 9780821843611

Model Categories

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9780821843611: Model Categories

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1.

Mark Hovey
Edité par American Mathematical Society (2007)
ISBN 10 : 0821843613 ISBN 13 : 9780821843611
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Sequitur Books
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Description du livre American Mathematical Society, 2007. Paperback. État : New. Brand new. We distribute directly for the publisher. 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. N° de réf. du libraire 1006230134

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2.

Mark Hovey
ISBN 10 : 0821843613 ISBN 13 : 9780821843611
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Description du livre État : New. Depending on your location, this item may ship from the US or UK. N° de réf. du libraire 97808218436110000000

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3.

Mark Hovey
Edité par American Mathematical Society, United States (2007)
ISBN 10 : 0821843613 ISBN 13 : 9780821843611
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Description du livre American Mathematical Society, United States, 2007. Paperback. État : New. 251 x 175 mm. Language: English . Brand New Book. 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. N° de réf. du libraire AAN9780821843611

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4.

Mark Hovey
Edité par American Mathematical Society, United States (2007)
ISBN 10 : 0821843613 ISBN 13 : 9780821843611
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The Book Depository US
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Description du livre American Mathematical Society, United States, 2007. Paperback. État : New. 251 x 175 mm. Language: English . Brand New Book. 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. N° de réf. du libraire AAN9780821843611

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5.

Mark Hovey
Edité par American Mathematical Society
ISBN 10 : 0821843613 ISBN 13 : 9780821843611
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Description du livre American Mathematical Society. Paperback. État : new. BRAND NEW, Model Categories, Mark Hovey, 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. N° de réf. du libraire B9780821843611

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Mark Hovey
Edité par American Mathematical Society (2007)
ISBN 10 : 0821843613 ISBN 13 : 9780821843611
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Description du livre American Mathematical Society, 2007. Paperback. État : New. book. N° de réf. du libraire 0821843613

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Mark Hovey
Edité par American Mathematical Society (2007)
ISBN 10 : 0821843613 ISBN 13 : 9780821843611
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Description du livre American Mathematical Society, 2007. Paperback. État : New. N° de réf. du libraire DADAX0821843613

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Hovey, Mark
Edité par Amer Mathematical Society (2007)
ISBN 10 : 0821843613 ISBN 13 : 9780821843611
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Revaluation Books
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Description du livre Amer Mathematical Society, 2007. Paperback. État : Brand New. 213 pages. 9.65x6.75x0.50 inches. In Stock. N° de réf. du libraire __0821843613

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Mark Hovey
Edité par American Mathematical Society (2007)
ISBN 10 : 0821843613 ISBN 13 : 9780821843611
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Description du livre American Mathematical Society, 2007. Paperback. État : New. N° de réf. du libraire P110821843613

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Mark Hovey
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Description du livre 2007. Paperback. État : New. 180mm x 252mm x 432mm. 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 com.Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 209 pages. 0.406. N° de réf. du libraire 9780821843611

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