# Definition of Functor. Meaning of Functor. Synonyms of Functor

Here you will find one or more explanations in English for the word Functor. Also in the bottom left of the page several parts of wikipedia pages related to the word Functor and, of course, Functor synonyms and on the right images related to the word Functor.

## Definition of Functor

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Perfunctorily
Perfunctorily Per*func"to*ri*ly, adv. In a perfunctory manner; formally; carelessly. --Boyle.
Perfunctoriness
Perfunctoriness Per*func"to*ri*ness, n. The quality or state of being perfunctory.
Perfunctory
Perfunctory Per*func"to*ry, a. [L. perfunctorius, fr. perfunctus dispatched, p. p. of perfungi to discharge, dispatch; per (see Per) + fungi to perform. See Function.] 1. Done merely to get rid of a duty; performed mechanically and as a thing of rote; done in a careless and superficial manner; characterized by indifference; as, perfunctory admonitions. --Macaulay. 2. Hence: Mechanical; indifferent; listless; careless. Perfunctory in his devotions.' --Sharp.

## Meaning of Functor from wikipedia

- In mathematics, specifically category theory, a functor is a mapping between categories. Functors were first considered in algebraic topology, where algebraic...
- relationship that two functors may exhibit, intuitively corresponding to a weak form of equivalence between two related categories. Two functors that stand in...
- like the strongly related notions of universal properties and adjoint functors, exist at a high level of abstraction. In order to understand them, it...
- In functional programming, a functor is a design pattern inspired by the definition from category theory that allows one to apply a function to values...
- up functor in Wiktionary, the free dictionary. A functor, in mathematics, is a map between categories. Functor may also refer to: Predicate functor in...
- a branch of mathematics, a functor category D C {\displaystyle D^{C}} is a category where the objects are the functors F : C → D {\displaystyle F:C\to...
- particularly homological algebra, an exact functor is a functor that preserves short exact sequences. Exact functors are convenient for algebraic calculations...
- is a fundamental result in category theory. It is an abstract result on functors of the type morphisms into a fixed object. It is a vast generalisation...
- contravariant functor acts as a covariant functor from the opposite category Cop to D. A natural transformation is a relation between two functors. Functors often...
- In mathematics, certain functors may be derived to obtain other functors closely related to the original ones. This operation, while fairly abstract, unifies...