Geodesic
On $d$-categories and $d$-operads
Homology, homotopy, and applications, Tome 22 (2020) no. 1, pp. 283-295.

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

We extend the theory of $d$-categories, which are a strict model for $(d, 1)$-categories introduced by Lurie, by providing an explicit description of the right mapping spaces of the d-homotopy category of an $\infty$-category. Using this description, we deduce an invariant $\infty$-categorical characterization of the d-homotopy category. We then proceed to develop an analogous theory of doperads, which model $\infty$-operads with $(d-1)$-truncated multimapping spaces, and prove analogous results for them.
DOI : 10.4310/HHA.2020.v22.n1.a16
Classification : 18A99, 55Pxx
Keywords: homotopy theory, infinity-category 
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Tomer M. Schlank; Lior Yanovski. On $d$-categories and $d$-operads. Homology, homotopy, and applications, Tome 22 (2020) no. 1, pp. 283-295. doi : 10.4310/HHA.2020.v22.n1.a16. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n1.a16/

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