Homology, Homotopy and Applications

Codescent theory II: cofibrant approximations

Paul Balmer and Michel Matthey

Full-text: Open access

Abstract

We establish a general method to produce cofibrant approximations in the model category U S (C,D) of S-valued C-indexed diagrams with D-weak equivalences and D-fibrations. We also present explicit examples of such approximations. Here, S is an arbitrary cofibrantly generated simplicial model category, and D subset C are small categories. An application to the notion of homotopy colimit is presented.

Article information

Source
Homology Homotopy Appl., Volume 8, Number 1 (2006), 211-242.

Dates
First available in Project Euclid: 15 February 2006

Permanent link to this document
https://projecteuclid.org/euclid.hha/1140012471

Mathematical Reviews number (MathSciNet)
MR2205219

Zentralblatt MATH identifier
1086.18010

Subjects
Primary: 18G55: Homotopical algebra
Secondary: 55U10: Simplicial sets and complexes

Citation

Balmer, Paul; Matthey, Michel. Codescent theory II: cofibrant approximations. Homology Homotopy Appl. 8 (2006), no. 1, 211--242. https://projecteuclid.org/euclid.hha/1140012471


Export citation