An infinity operad of normalized cacti

Research output: Contribution to journalJournal articleResearchpeer-review

  • Luciana Basualdo Bonatto
  • Safia Chettih
  • Abigail Linton
  • Sophie Raynor
  • Marcy Robertson
  • Wahl, Nathalie

We endow the normalized cacti with the structure of an ∞-operad by showing that its existing composition laws are associative up to all higher homotopies. The higher homotopies are encoded by a new topological operad of bracketed trees which we relate both to an enrichment of the dendroidal category Ω and to the Boardman-Vogt W-construction on the operad of operads.

Original languageEnglish
Article number108107
JournalTopology and Its Applications
Pages (from-to)1-54
Publication statusPublished - 2022

Bibliographical note

Publisher Copyright:
© 2022 Elsevier B.V.

    Research areas

  • Cactus operad, Infinity operads, Operads


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