category with duals (list of them)
dualizable object (what they have)
ribbon category, a.k.a. tortile category
monoidal dagger-category?
A symmetric multicategory is a multicategory equipped with an action of the symmetric group on the set of -ary operations, for all , such that composition respects this action.
Symmetric multicategories are equivalently called coloured symmetric operads over Set. See there for more details.
With respect to the Boardman-Vogt tensor product (see there for details) symmetric multicategories form a closed symmetric monoidal category.
A full subcategory of based symmetric multicategories admit a Thomason-style model structure that is Quillen equivalent to connective spectra, according to Fuentas-Keuthan.
Last revised on October 12, 2022 at 09:26:16. See the history of this page for a list of all contributions to it.