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Goerss P.G., Jardine J.F. — Simplicial Homotopy Theory
Goerss P.G., Jardine J.F. — Simplicial Homotopy Theory

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Название: Simplicial Homotopy Theory

Авторы: Goerss P.G., Jardine J.F.

Аннотация:

Since the beginning of the modern era of algebraic topology, simplicialmethods have been used systematically and effectively for both computation and basic theory. With the development of Quillen's concept of a closed model category and, in particular, a simplicial model category, this collection of methods has become the primary way to describe non-abelian homological algebra and to address homotopy-theoretical issues in a variety of fields, including algebraic K-theory. This book supplies a modern exposition of these ideas, emphasizing model category theoretical techniques. Discussed here are the homotopy theory of simplicial sets, and other basictopics such as simplicial groups, Postnikov towers, and bisimplicial sets.The more advanced material includes homotopy limits and colimits,localization with respect to a map and with respect to a homology theory,cosimplicial spaces, and homotopy coherence. Interspersed throughout aremany results and ideas well-known to experts, but uncollected in theliterature. Intended for second-year graduate students and beyond, this book introduces many of the basic tools of modern homotopy theory. An extensive background in topology is not assumed.


Язык: en

Рубрика: Математика/Алгебра/Гомология/

Статус предметного указателя: Нет и не будет

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 500

Добавлена в каталог: 22.03.2005

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