Geodesic
The symmetric join operad
Homology, homotopy, and applications, Tome 15 (2013) no. 2, pp. 245-265.

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

The join operad arises from the combinatorial study of the iterated join of simplices. We study a suitable simplicial version of this operad that includes the symmetries given by permutations of the factors of the join. This is the symmetric join operad. As an application of this combinatorics we construct an $E_{\infty}$-operad that coacts naturally on the chains of a simplicial set.
DOI : 10.4310/HHA.2013.v15.n2.a15
Classification : 18D50, 55U10, 55U15
Keywords: join, operads, $E_{\infty}$, cochain operations 
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     title = {The symmetric join operad},
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     pages = {245--265},
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Michał Adamaszek; John D. S. Jones. The symmetric join operad. Homology, homotopy, and applications, Tome 15 (2013) no. 2, pp. 245-265. doi : 10.4310/HHA.2013.v15.n2.a15. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n2.a15/

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