Description: Further DetailsTitle: Simplicial Homotopy TheoryCondition: NewEAN: 9783034897372ISBN: 9783034897372Edition: Softcover reprint of the original 1st ed. 1999Publisher: Birkhauser Verlag AGFormat: PaperbackRelease Date: 10/14/2012Description: 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.Language: EnglishCountry/Region of Manufacture: CHItem Height: 235mmItem Length: 155mmAuthor: Paul G. Goerss, John F. JardineGenre: Science Nature & MathBook Series: Progress in MathematicsRelease Year: 2012 Missing Information?Please contact us if any details are missing and where possible we will add the information to our listing.
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Book Title: Simplicial Homotopy Theory
Title: Simplicial Homotopy Theory
EAN: 9783034897372
ISBN: 9783034897372
Edition: Softcover reprint of the original 1st ed. 1999
Release Date: 10/14/2012
Release Year: 2012
Country/Region of Manufacture: CH
Genre: Science Nature & Math
Number of Pages: Xv, 510 Pages
Publication Name: Simplicial Homotopy Theory
Language: English
Publisher: Springer Basel A&G
Item Height: 0.4 in
Subject: Topology
Publication Year: 2012
Item Weight: 28.5 Oz
Type: Textbook
Subject Area: Mathematics
Item Length: 9.3 in
Author: John F. Jardine, Paul G. Goerss
Series: Progress in Mathematics Ser.
Item Width: 6.1 in
Format: Trade Paperback