Geodesic
$n$-relative categories: a model for the homotopy theory of $n$-fold homotopy theories
Homology, homotopy, and applications, Tome 15 (2013) no. 2, pp. 281-300.

Voir la notice de l'article provenant de la source International Press of Boston

We introduce, for every integer $n \geq 1$, the notion of an $n$-relative category and show that the category of the small $n$-relative categories is a model for the homotopy theory of $n$-fold homotopy theories, i.e., homotopy theories of… homotopy theories.
DOI : 10.4310/HHA.2013.v15.n2.a17
Classification : 18D05, 18G55
Keywords: relative category, $n$-relative category, higher category 
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C. Barwick; D. M. Kan. $n$-relative categories: a model for the homotopy theory of $n$-fold homotopy theories. Homology, homotopy, and applications, Tome 15 (2013) no. 2, pp. 281-300. doi : 10.4310/HHA.2013.v15.n2.a17. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n2.a17/

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