Simplicial Homotopy Theory is popular PDF and ePub book, written by Paul G. Goerss in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Simplicial Homotopy Theory can be Read Online from any device for your convenience.
Simplicial Homotopy Theory Book PDF Summary
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.
Detail Book of Simplicial Homotopy Theory PDF
- Author : Paul G. Goerss
- Release : 06 December 2012
- Publisher : Birkhäuser
- ISBN : 9783034887076
- Genre : Mathematics
- Total Page : 520 pages
- Language : English
- PDF File Size : 15,8 Mb
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