Geodesic
A convenient category for directed homotopy
Theory and applications of categories, The Tholen Festschrift, Tome 21 (2008), pp. 7-20

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We propose a convenient category for directed homotopy consisting of "directed'' topological spaces generated by "directed'' cubes. Its main advantage is that, like the category of topological spaces generated by simplices suggested by J. H. Smith, it is locally presentable.

Classification : Primary 18C35, Secondary 55P99, 68Q85
Keywords: locally presentable category, simplex-generated spaces, directed homotopy, dicovering 
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L. Fajstrup; J. Rosicky. A convenient category for directed homotopy. Theory and applications of categories, The Tholen Festschrift, Tome 21 (2008), pp. 7-20. http://geodesic.mathdoc.fr/item/TAC_2008_21_a0/