Model Categories (Mathematical Surveys and Monographs) Book PDF, ePub eBook

Join our eBook service for unlimited books & audiobooks. Get a free 7 day subscription! ↓↓↓↓↓


Book Descriptions:
[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.

Model Categories (Mathematical Surveys and Monographs) by Mark Hovey

From reader reviews:

Brian Price:

Why don't make it to be your habit? Right now, try to ready your time to do the important take action, like looking for your favorite reserve and reading a book. Beside you can solve your long lasting problem; you can add your knowledge by the guide entitled Model Categories (Mathematical Surveys and Monographs). Try to the actual book Model Categories (Mathematical Surveys and Monographs) as your pal. It means that it can for being your friend when you feel alone and beside regarding course make you smarter than previously. Yeah, it is very fortuned in your case. The book makes you more confidence because you can know every little thing by the book. So , let us make new experience in addition to knowledge with this book.

Stanley Wells:

The book untitled Model Categories (Mathematical Surveys and Monographs) is the e-book that recommended to you to learn. You can see the quality of the book content that will be shown to you. The language that creator use to explained their ideas are easily to understand. The author was did a lot of research when write the book, to ensure the information that they share to you is absolutely accurate. You also can get the e-book of Model Categories (Mathematical Surveys and Monographs) from the publisher to make you much more enjoy free time.

Sean Bass:

Don't be worry in case you are afraid that this book will certainly filled the space in your house, you will get it in e-book way, more simple and reachable. This Model Categories (Mathematical Surveys and Monographs) can give you a lot of good friends because by you investigating this one book you have point that they don't and make you actually more like an interesting person. This specific book can be one of one step for you to get success. This e-book offer you information that maybe your friend doesn't realize, by knowing more than additional make you to be great men and women. So , why hesitate? Let me have Model Categories (Mathematical Surveys and Monographs).

Fred Simpson:

A lot of people said that they feel bored stiff when they reading a book. They are directly felt it when they get a half portions of the book. You can choose the book Model Categories (Mathematical Surveys and Monographs) to make your reading is interesting. Your own skill of reading talent is developing when you like reading. Try to choose simple book to make you enjoy to learn it and mingle the sensation about book and examining especially. It is to be 1st opinion for you to like to wide open a book and examine it. Beside that the reserve Model Categories (Mathematical Surveys and Monographs) can to be a newly purchased friend when you're feel alone and confuse using what must you're doing of their time.