(redirected from Functors)
Also found in: Encyclopedia.


1. One that performs an operation or a function.
2. Grammar See function word.

[New Latin fūnctor, from Latin fūnctiō, performance, function; see function.]


1. (Grammar) (in grammar) a function word or form word
2. (Mathematics) (in mathematics) a function that maps elements of one set to those of another


(ˈfʌŋk tər)

that which functions; operator.
Mentioned in ?
References in periodicals archive ?
Develop a new theory for an effective description of exact functors in order to prove some related conjectures.
Among his topics are the categorification of quantum groups, the tensor product of algebras, braiding functors, and rigidity structures.
Geospatial functors and data now first class citizens'
Here let us explain the abstract machine's operations through Guattari's four functors schematic.
In fact, there is a categorical equivalence between the partial actions of a group G on sets and the star injective functors from groupoids to the group G, considered as a groupoid with a single object [51].
The above interpolation functor is an extension of the interpolation functor given in Marcinkiewicz real interpolation functor and the interpolation functors in [6,7] for the studies of Lorentz-Karamata spaces and Orlicz spaces, respectively.
Initially sheaves, presheaves and functors were thought as purely mathematical objects.
In a standard way, every poset can be considered as a category, and monotone mappings between posets can be considered as functors.
AM10] Marcelo Aguiar and Swapneel Mahajan, Monoidal functors, species and Hopf algebras, CRM Monograph Series, vol.
The deontic modalities themselves are proposed as values of the argument of action, thus "determining the meaning of the normative functors with respect to the other (normative) functors," i.
But the incorporation in (5), also might be said to "respect valency", in so far as verbs normally take functors as complements, and among them locatives.
In 1942-45, Samuel Eilenberg (2) and Saunders Mac Lane introduced categories, functors, and natural transformations as part of their work in topology, especially algebraic topology (see also (1), (5)).