Iterated power set applications generate a hierarchy of operads linking the permutative operad to triassociative, substitution, and composition operads, plus a new operad on relative simplicial complexes governed by join polyhedral products.
Polyhedral products in abstract and motivic homotopy theory
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Power set operads
Iterated power set applications generate a hierarchy of operads linking the permutative operad to triassociative, substitution, and composition operads, plus a new operad on relative simplicial complexes governed by join polyhedral products.