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

Price loading...

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

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

Crafts, Hobbies & Home

Price History & Forecast

No Price Data Available

Price history will appear here once data is collected from Amazon.

Price Distribution

No price data available for histogram

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

Barcode

No barcode data available

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

Price History & Forecast

No Price Data Available

Price Distribution

Description

Product Specifications

Barcode

Similar Products You Might Like

Simplicial Homotopy Theory (Modern Birkhäuser Classics)

Birkhauser Cohomological Methods in Homotopy Theory - Book 196

Modern Classical Homotopy Theory (Graduate Studies in Mathematics)

Model Categories (Mathematical Surveys and Monographs)

Model Categories and Their Localizations (Mathematical Surveys and Monographs)

Generalized Etale Cohomology Theories (Modern Birkhäuser Classics)

Elements of Homology Theory (Graduate Studies in Mathematics)

Elements of Homotopy Theory: 61 (Graduate Texts in Mathematics, 61)

Mod Two Homology and Cohomology (Universitext)

The Local Structure of Algebraic K-Theory: 18 (Algebra and Applications, 18)

Basic Algebraic Topology

Introduction to Homotopy Theory (Universitext)

More Concise Algebraic Topology – Localization, Completion and Model Categories (Chicago Lectures in Mathematics Series CLM)

Differential Forms in Algebraic Topology: 82 (Graduate Texts in Mathematics, 82)

Morse Homology with Differential Graded Coefficients: 360 (Progress in Mathematics, 360)

Rational Homotopy Theory and Differential Forms: 16 (Progress in Mathematics, 16)

Groupoids, Inverse Semigroups, and their Operator Algebras: 170 (Progress in Mathematics, 170)

Axiomatic Stable Homotopy Theory (Memoirs of the AMS) (Memoirs of the American Mathematical Society)

Triangulated Categories of Mixed Motives (Springer Monographs in Mathematics)

Secondary Cohomology Operations (Graduate Studies in Mathematics)

Homology Theory: An Introduction to Algebraic Topology: 145 (Graduate Texts in Mathematics, 145)

Homological Methods in Commutative Algebra: 234 (Graduate Studies in Mathematics)

An Introduction to Algebraic Topology: 119 (Graduate Texts in Mathematics, 119)

Simplicial and Operad Methods in Algebraic Topology (American Mathematics Society non-series title) (Translations of Mathematical Monographs)