(category theory) A category 𝒞 with a bifunctor ⊗:𝒞⨯𝒞→𝒞 which may be called tensor product, an associativity isomorphism 𝛼_(A,B,C):(A⊗B)⊗C≃A⊗(B⊗C), an object I which may be called tensor unit, a left unit natural isomorphism 𝜆_A:I⊗A≃A, a right unit natural isomorphism 𝜌_A:A⊗I≃A, and some "coherence conditions" (pentagon and triangle commutative diagrams for those isomorphisms).

catechetical

(category theory) A category naturally associated to any monad T, and equivalent to the category of free T-algebras.

The hairy larva of an arctiid moth.

A scaleback (kind of marine annelid).

(category theory) A category such that all of its objects form a set and all of its morphisms form a set.

(category theory) A category that is induced by a multidigraph thus: it has as its objects the vertices of the multidigraph and its morphisms are paths in the multidigraph; composition of morphisms is concatenation of paths, as long as the end of one path coincides with the beginning of the other path; an identity morphism of an object is an “empty path” at that vertex.

(category theory) A category whose morphisms are all identity morphisms.

An informal association of people who have successfully used a parachute to bail out of a disabled aircraft.

Synonym of category mistake