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.
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Abstract
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% |
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