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 to
-truncated topological
operads. A
-truncated
operad is a weaker version of operad where all operations have arity
.
