An infinity operad of normalized cacti

Basualdo Bonatto, Luciana, Chettih, Safia, Linton, Abigail, Raynor, Sophie, Robertson, Marcy, and Wahl, Nathalie (2022) An infinity operad of normalized cacti. Topology and its Applications, 316. 108107.

[img] PDF (Published Version) - Published Version
Restricted to Repository staff only

View at Publisher Website:


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.

Item ID: 75159
Item Type: Article (Research - C1)
ISSN: 1879-3207
Keywords: Cactus operad, Infinity operads, Operads
Copyright Information: © 2022 Elsevier B.V. All rights reserved.
Date Deposited: 08 Sep 2022 05:03
FoR Codes: 49 MATHEMATICAL SCIENCES > 4904 Pure mathematics > 490412 Topology @ 50%
49 MATHEMATICAL SCIENCES > 4904 Pure mathematics > 490403 Category theory, k theory, homological algebra @ 50%
SEO Codes: 28 EXPANDING KNOWLEDGE > 2801 Expanding knowledge > 280118 Expanding knowledge in the mathematical sciences @ 100%
Downloads: Total: 3
More Statistics

Actions (Repository Staff Only)

Item Control Page Item Control Page