functor Meaning & Definition
/ˈfʌŋktə/
What Does Functor Mean?
As a noun, functor means A function word. It can also mean A function object.
Quick Facts About Functor
| Part of speech | noun |
|---|---|
| Pronunciation | //ˈfʌŋktə// |
| Syllables | 1 |
| Plural | functors |
Functor Definition (Noun)
- A function word.
- A function object.
- 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 𝐂𝐚𝐭 the objects are categories and the morphisms are functors.
- A structure allowing a function to apply within a generic type, in a way that is conceptually similar to a functor in category theory.
Noun
- (grammar) A function word.
- A category homomorphism; a morphism from a source category to a target category which maps objects to objects and arrows to arrows, in such a way as to preserve domains and codomains (of the arrows) as well as composition and identities.
In the category of categories, \mathbb{CAT}, the objects are categories and the morphisms are functors.
Synonyms of Functor
The source does not list synonyms for this entry.
Functor synonyms and antonyms →Antonyms of Functor
No antonyms or near antonyms are listed by the available sources for this entry.
Functor in a Sentence
In the category of categories 𝐂𝐚𝐭 the objects are categories and the morphisms are functors.
In the category of categories, \mathbb{CAT}, the objects are categories and the morphisms are functors.
Word Forms & Grammar
functor (plural functors)
Words That Rhyme With Functor
Origin of Functor
From function, modeled after factor.
How to Pronounce Functor
The standard pronunciation of functor is //ˈfʌŋktə//, spoken in 1 syllable.