English

An infinity operad of normalized cacti

Algebraic Topology 2023-03-09 v1 Category Theory

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 Ω\Omega.

Keywords

Cite

@article{arxiv.2007.01588,
  title  = {An infinity operad of normalized cacti},
  author = {Luciana Basualdo Bonatto and Safia Chettih and Abigail Linton and Sophie Raynor and Marcy Robertson and Nathalie Wahl},
  journal= {arXiv preprint arXiv:2007.01588},
  year   = {2023}
}

Comments

48 pages, many figures, comments welcome!

R2 v1 2026-06-23T16:49:31.424Z