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.
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Mathematics Subject Classifications (2000)
18A99, 55P10, 68Q85.
JiřÍ Rosický: Supported by the Grant Agency of the Czech Republic under the grant 201/02/0148.
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Kurz, A., Rosický, J. Weak Factorizations, Fractions and Homotopies. Appl Categor Struct 13, 141–160 (2005). https://doi.org/10.1007/s10485-004-6730-z
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DOI: https://doi.org/10.1007/s10485-004-6730-z