Weak Factorizations, Fractions and Homotopies

Authors

Alexander Kurz, Chapman UniversityFollow
Jiří Rosický, Masaryk University

Document Type

Article

Publication Date

2005

Abstract

We show that the homotopy category can be assigned to any category equipped with a weak factorization system. A classical example of this construction is the stable category of modules. We discuss a connection with the open map approach to bisimulations proposed by Joyal, Nielsen and Winskel.

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Applied Categorical Structures, volume 13, issue 2, in 2005 following peer review. The final publication is available at Springer via DOI: 10.1007/s10485-004-6730-z

Recommended Citation

A. Kurz and J. Rosický, “Weak Factorizations, Fractions and Homotopies,” Applied Categorical Structures, vol. 13, no. 2, pp. 141–160, Apr. 2005. DOI: 10.1007/s10485-004-6730-z

Copyright

Springer