An infinity operad of normalized cacti

Abstract

We show that normalized cacti form an $\infty$-operad in the form of a dendroidal space satisfying a weak Segal condition. To do this, we introduce a new topological operad of bracketed trees and an enrichment of the dendroidal category $\Omega$.

arXiv comment48 pages, many figures, comments welcome!

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• The diagonal of the operahedra