2011/10/13 by Michal Adamaszek, Adamaszek, Michal, John D. S. Jones +1
Mathematics · #18D50 #55U10 #55U15 #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #math.AT #math.CT #msc:18D50 #msc:55U10 #msc:55U15
paper · pdf · doi:10.48550/arxiv.1110.2989
arxiv created 2011/10/13 · arxiv updated 2011/10/14
The join operad arises from the combinatorial study of the iterated join of simplices. We study a suitable simplicial version of this operad which includes the symmetries given by permutations of the factors of the join. From this combinatorics we construct an E-infinity operad which coacts naturally on the chains of a simplicial set.