Truncated operads and simplicial spaces

Weiss, Michael

Zusammenfassung

It was shown by Boavida de Brito and Weiss (J. Topol.11:1 (2018), 65-143) that a well-known construction which to a (monochromatic, symmetric) topological operad associates a topological category and a functor from it to the category of finite sets is homotopically fully faithful, under mild conditions on the operads. The main result here is a generalization of that statement tok-truncated topological operads. Ak-truncated operad is a weaker version of operad where all operations have arity≤k.