Simplicial Homotopy Theory

• Main Authors: Goerss, Paul G. (Author), Jardine, John F. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2009.
• Series: Modern Birkhäuser Classics
• Subjects: Mathematics.; Mathematics, general.

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 collect...

Table of Contents:

• Simplicial sets
• Model Categories
• Classical results and constructions
• Bisimplicial sets
• Simplicial groups
• The homotopy theory of towers
• Reedy model categories
• Cosimplicial spaces: applications
• Simplicial functors and homotopy coherence
• Localization.