Geodesic
On factorizations of graphical maps
Homology, homotopy, and applications, Tome 20 (2018) no. 2, pp. 217-238.

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

We study the categories governing infinity (wheeled) properads. The graphical category, which was already known to be generalized Reedy, is, in fact, an Eilenberg–Zilber category. A minor alteration to the definition of the wheeled graphical category allows us to show that it is a generalized Reedy category. Finally, we present model structures for Segal properads and Segal wheeled properads.
DOI : 10.4310/HHA.2018.v20.n2.a11
Classification : 18D50, 18G30, 18G55, 55P48, 55U35
Keywords: Reedy category, graphical set, dendroidal set, Quillen model structure, Eilenberg–Zilber category, properad, wheeled properad 
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Philip Hackney; Marcy Robertson; Donald Yau. On factorizations of graphical maps. Homology, homotopy, and applications, Tome 20 (2018) no. 2, pp. 217-238. doi : 10.4310/HHA.2018.v20.n2.a11. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n2.a11/

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