A multicategory is what remains of a monoidal category when a monoidal product is not available. A weak multicategory V means that hom-sets are in fact categories, and in place of usual equations, there are natural isomorphisms, which have to satisfy their own equations. A symmetric weak multicategory implies a weak multicategory with a weak (up to a cocycle) action of symmetric groups.
Keywords: symmetric weak multicategories; symmetric weak multifunctors; multinatural transformations; modifications
2020 MSC: 18M65
Theory and Applications of Categories, Vol. 45, 2026, No. 24, pp 951-987.
Published 2026-04-29.
TAC Home