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.
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机译：连接操作源自对简单迭代迭代连接的组合研究。我们研究了此歌剧的一个合适的简单形式，其中包括通过连接因子的排列而给出的对称性。这是对称联接操作。作为这种组合的一种应用，我们构造了一个$ E _ { infty} $-operad，它自然地作用于简单集合的链上。
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