functor

noun
/ˈfʌŋktə/UK

Etymology

From function, modeled after factor.

Definitions

  1. A function word.

  2. A function object.

  3. A category homomorphism

    A category homomorphism; a morphism from a source category to a target category which maps objects to objects and arrows to arrows (either covariantly or contravariantly), in such a way as to preserve morphism composition and identities.

    • In the category of categories #92;mathbf#123;Cat#125; the objects are categories and the morphisms are functors.
  4. + 1 more definition
    1. A structure allowing a function to apply within a generic type, in a way that is…

      A structure allowing a function to apply within a generic type, in a way that is conceptually similar to a functor in category theory.

The neighborhood

Vish — recursive loop

A definitional loop anchored at functor. Each word in the ring is defined by the next; follow the chain far enough and it folds back on itself. Scroll to it and watch.

01functor02contravariantly03contravariant04inversely05inversion06octave07eight08figure09drawing10diagram

A definitional loop anchored at functor. Each word in the ring appears in the definition of the next; follow the chain far enough and it folds back on itself.

10 hops · closes at functor

curated · pre-corpus. live cycle detection across the full graph is the next major milestone.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA