Paul G Goerss

(Author)

Simplicial Homotopy Theory (Softcover Reprint of the Original 1st 1999)Paperback - Softcover Reprint of the Original 1st 1999, 14 October 2012

Simplicial Homotopy Theory (Softcover Reprint of the Original 1st 1999)
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Part of Series
Progress in Mathematics
Print Length
510 pages
Language
English
Publisher
Birkhauser
Date Published
14 Oct 2012
ISBN-10
3034897375
ISBN-13
9783034897372

Description

Since the beginning of the modern era of algebraic topology, simplicial
methods 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 basic
topics 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 are
many results and ideas well-known to experts, but uncollected in the
literature.

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.

Product Details

Authors:
Paul G GoerssJohn F Jardine
Book Edition:
Softcover Reprint of the Original 1st 1999
Book Format:
Paperback
Country of Origin:
NL
Date Published:
14 October 2012
Dimensions:
23.39 x 15.6 x 2.74 cm
ISBN-10:
3034897375
ISBN-13:
9783034897372
Language:
English
Location:
Basel
Pages:
510
Publisher:
Weight:
739.35 gm

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