A convenient category for directed homotopy
Category Theory
2012-05-02 v1
Abstract
We propose a convenient category for directed homotopy consisting of preordered topological spaces generated by cubes. Its main advantage is that, like the category of topological spaces generated by simplices suggested by J. H. Smith, it is locally presentable.
Cite
@article{arxiv.0708.3937,
title = {A convenient category for directed homotopy},
author = {L. Fajstrup and J. Rosicky},
journal= {arXiv preprint arXiv:0708.3937},
year = {2012}
}