An infinity operad of normalized cacti
arXiv:2007.01588 · doi:10.1016/j.topol.2022.108107
Abstract
We show that normalized cacti form an -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 .
48 pages, many figures, comments welcome!