Simplicial Homotopy Theory

Download Simplicial Homotopy Theory full books in PDF, epub, and Kindle. Read online free Simplicial Homotopy Theory ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Simplicial Homotopy Theory

Simplicial Homotopy Theory
Author :
Publisher : Birkhäuser
Total Pages : 520
Release :
ISBN-10 : 9783034887076
ISBN-13 : 3034887078
Rating : 4/5 (078 Downloads)

Book Synopsis Simplicial Homotopy Theory by : Paul G. Goerss

Download or read book Simplicial Homotopy Theory written by Paul G. Goerss and published by Birkhäuser. This book was released on 2012-12-06 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Simplicial Homotopy Theory Related Books

Simplicial Homotopy Theory
Language: en
Pages: 520
Authors: Paul G. Goerss
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

DOWNLOAD EBOOK

Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic the
Simplicial Homotopy Theory
Language: en
Pages: 520
Authors: Paul G. Goerss
Categories: Mathematics
Type: BOOK - Published: 2009-12-05 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic the
Simplicial Homotopy Theory
Language: en
Pages: 538
Authors: Paul Gregory Goerss
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic the
Categorical Homotopy Theory
Language: en
Pages: 371
Authors: Emily Riehl
Categories: Mathematics
Type: BOOK - Published: 2014-05-26 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by
Simplicial Objects in Algebraic Topology
Language: en
Pages: 171
Authors: J. P. May
Categories: Mathematics
Type: BOOK - Published: 1992 - Publisher: University of Chicago Press

DOWNLOAD EBOOK

Simplicial sets are discrete analogs of topological spaces. They have played a central role in algebraic topology ever since their introduction in the late 1940