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arXiv · 2007.01588

An infinity operad of normalized cacti

Luciana Basualdo Bonatto·Safia Chettih·Abigail Linton·Sophie Raynor·Marcy Robertson·Nathalie Wahl
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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 $\Omega$.

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Luciana Basualdo Bonatto, Safia Chettih, Abigail Linton, Sophie Raynor, Marcy Robertson, Nathalie Wahl. 2020-07-03. An infinity operad of normalized cacti. https://doi.org/10.1016/j.topol.2022.108107

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