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.
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
Included in
Algebra Commons, Logic and Foundations Commons, Other Computer Engineering Commons, Other Computer Sciences Commons, Other Mathematics Commons
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