# Model Categories (Mathematical Surveys and Monographs)

## Mark Hovey

Note moyenne 5
( 1 avis fournis par Goodreads )

[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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Acheter neuf Afficher le livre
EUR 49,54

Frais de port : EUR 3,44
Vers Etats-Unis

Destinations, frais et délais

Ajouter au panier

## 1.Model Categories (Mathematical Surveys and Monographs)

Edité par American Mathematical Society (2007)
ISBN 10 : 0821843613 ISBN 13 : 9780821843611
Neuf(s) Paperback Quantité : > 20
Vendeur
Sequitur Books
(Boonsboro, MD, Etats-Unis)
Evaluation vendeur

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

Acheter neuf
EUR 49,54
Autre devise
Frais de port : EUR 3,44
Vers Etats-Unis
Destinations, frais et délais

## 2.Model Categories (Mathematical Surveys and Monographs)

Edité par American Mathematical Society
ISBN 10 : 0821843613 ISBN 13 : 9780821843611
Neuf(s) Quantité : 1
Vendeur
Ohmsoft LLC
(Lake Forest, IL, Etats-Unis)
Evaluation vendeur

Description du livre American Mathematical Society. État : Brand New. Ships from USA. FREE domestic shipping. N° de réf. du libraire 0821843613

Acheter neuf
EUR 62,29
Autre devise
Frais de port : Gratuit
Vers Etats-Unis
Destinations, frais et délais

## 3.Model Categories (Paperback)

Edité par American Mathematical Society, United States (2007)
ISBN 10 : 0821843613 ISBN 13 : 9780821843611
Neuf(s) Paperback Quantité : 1
Vendeur
The Book Depository US
(London, Royaume-Uni)
Evaluation vendeur

Description du livre American Mathematical Society, United States, 2007. Paperback. État : New. 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

Acheter neuf
EUR 64,25
Autre devise
Frais de port : Gratuit
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

## 4.Model Categories (Paperback)

Edité par American Mathematical Society, United States (2007)
ISBN 10 : 0821843613 ISBN 13 : 9780821843611
Neuf(s) Paperback Quantité : 1
Vendeur
The Book Depository
(London, Royaume-Uni)
Evaluation vendeur

Description du livre American Mathematical Society, United States, 2007. Paperback. État : New. 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

Acheter neuf
EUR 64,26
Autre devise
Frais de port : Gratuit
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

## 5.Model Categories

Edité par American Mathematical Society
ISBN 10 : 0821843613 ISBN 13 : 9780821843611
Neuf(s) Paperback Quantité : 1
Vendeur
THE SAINT BOOKSTORE
(Southport, Royaume-Uni)
Evaluation vendeur

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

Acheter neuf
EUR 59,60
Autre devise
Frais de port : EUR 7,78
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

## 6.Model Categories (Mathematical Surveys and Monographs)

Edité par American Mathematical Society (2007)
ISBN 10 : 0821843613 ISBN 13 : 9780821843611
Neuf(s) Paperback Quantité : 1
Vendeur
Irish Booksellers
(Rumford, ME, Etats-Unis)
Evaluation vendeur

Description du livre American Mathematical Society, 2007. Paperback. État : New. book. N° de réf. du libraire 0821843613

Acheter neuf
EUR 76,95
Autre devise
Frais de port : Gratuit
Vers Etats-Unis
Destinations, frais et délais

## 7.Model Categories (Mathematical Surveys and Monographs)

Edité par American Mathematical Society (2007)
ISBN 10 : 0821843613 ISBN 13 : 9780821843611
Neuf(s) Paperback Quantité : 1
Vendeur
Ergodebooks
(RICHMOND, TX, Etats-Unis)
Evaluation vendeur

Description du livre American Mathematical Society, 2007. Paperback. État : New. N° de réf. du libraire DADAX0821843613

Acheter neuf
EUR 74,33
Autre devise
Frais de port : EUR 3,43
Vers Etats-Unis
Destinations, frais et délais

## 8.Model Categories

ISBN 10 : 0821843613 ISBN 13 : 9780821843611
Neuf(s) Quantité : 2
Vendeur
BWB
(Valley Stream, NY, Etats-Unis)
Evaluation vendeur

Description du livre État : New. Depending on your location, this item may ship from the US or UK. N° de réf. du libraire 97808218436110000000

Acheter neuf
EUR 86,11
Autre devise
Frais de port : Gratuit
Vers Etats-Unis
Destinations, frais et délais

## 9.Model Categories

Edité par Amer Mathematical Society (2007)
ISBN 10 : 0821843613 ISBN 13 : 9780821843611
Neuf(s) Paperback Quantité : 1
Vendeur
Revaluation Books
(Exeter, Royaume-Uni)
Evaluation vendeur

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

Acheter neuf
EUR 82,82
Autre devise
Frais de port : EUR 6,71
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

## 10.Model Categories (Mathematical Surveys and Monographs)

Edité par American Mathematical Society
ISBN 10 : 0821843613 ISBN 13 : 9780821843611
Neuf(s) PAPERBACK Quantité : 1
Vendeur
Cloud 9 Books
(Wellington, FL, Etats-Unis)
Evaluation vendeur

Description du livre American Mathematical Society. PAPERBACK. État : New. 0821843613 New Condition. N° de réf. du libraire NEW6.0510739

Acheter neuf
EUR 110,57
Autre devise
Frais de port : EUR 4,29
Vers Etats-Unis
Destinations, frais et délais