Simplicial Homotopy Theory: 174 (Progress in Mathematics, 174) - Image 1

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Birkhauser Simplicial Homotopy Theory: 174 (Progress in Mathematics, 174)

Name: Simplicial Homotopy Theory: 174 (Progress in Mathematics, 174)
Brand: Birkhauser
Price: 92.24 GBP
Availability: InStock

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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 Specifications

Brand: Birkhauser
Format: paperback
ASIN: 3034897375
Category: Books > Subjects > Crafts, Hobbies & Home
Domain: Amazon UK
Publication Date: 14 October 2012
Listed Since: 14 July 2013

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Birkhauser Simplicial Homotopy Theory: 174 (Progress in Mathematics, 174)

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