Word.ws English Dictionary

functor

UK/ˈfʌŋktə/

functor noun: a function word.

functor: a function word
Image: Stefan jaouen, CC BY-SA 4.0, via Wikimedia Commons

Noun

functor (plural functors)

  1. A function word.
  2. (object-oriented programming) A function object.
  3. 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.
    • Choosing for U the operation of closure, regularization or relative completion, we obtain from a given functor ℱ∈𝒥ℱ the functors
      ◌̅F: overrightarrow X→◌̅F( overrightarrow X),F⁰: overrightarrow X→F( overrightarrow X)⁰,Fᶜ: overrightarrow X→F( overrightarrow X)ᶜ.1991, Natalie Wadhwa (translator), Yu. A. Brudnyǐ, N. Ya. Krugljak, Interpolation Functors and Interpolation Spaces, Volume I, Elsevier (North-Holland), page 143
  4. (functional programming) A structure allowing a function to apply within a generic type, in a way that is conceptually similar to a functor in category theory.

functor meaning in Tamil

functor in Tamil

முற்றாத் தொடர்

Examples of functor in a sentence

  • By a group functor we mean a functor from small k-algebras to groups.
  • An étale presheaf on X is a contravariant functor from Ét(X) to the category of sets.
  • This means that the fibrant replacement functor does not preserve the causal structure.

All 11 example sentences with functor

Forms of functor

pluralfunctors

Origin of functor

From function, modeled after factor.

Words formed from functor

Phrases with functor

Questions about functor

What does functor mean?
Functor means a function word.
What is functor in Tamil?
Functor in Tamil is முற்றாத் தொடர். See Functor meaning in Tamil.
What part of speech is functor?
Functor is a noun.
How do you pronounce functor?
Functor is pronounced /ˈfʌŋktə/ (UK).
What is the plural of functor?
The plural of functor is functors.

Words near functor in the dictionary

  1. functive
  2. functoid
  3. functoids
  4. functome
  5. functomes
  6. functor
  7. functor categories
  8. functor category
  9. functorial
  10. functorialities
  11. functoriality

Source and license

Adapted from Wiktionary: functor (page history and authors); functor (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Pronunciation audio from Wikimedia Commons, each file under its own free license: LL-Q1860 (eng)-Flame, not lame-functor.wav.

Cite this entry: “functor.” Word.ws, https://word.ws/functor. Based on Wiktionary, CC BY-SA 4.0.