BabelNet

bn:00219527n

Noun Concept

Categories: Functors

functor bifunctor Category homomorphism Cofunctor constant functor

In mathematics, specifically category theory, a functor is a mapping between categories. Wikipedia

Definitions

Examples

Relations

Sources

In mathematics, specifically category theory, a functor is a mapping between categories. Wikipedia

In category theory, a mapping between categories that preserves their structure Wikidata

A special type of mapping between categories. OmegaWiki

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. Wiktionary

In the category of categories, C A T , the objects are categories and the morphisms are functors. Wiktionary

IS A

function

PART OF

category theory

HAS KIND

simplicial set

direct image with compact support

exceptional inverse image functor

HAS INSTANCE

Lie group–Lie algebra correspondence

DISCOVERER OR INVENTOR

Saunders Mac Lane

Samuel Eilenberg

STUDIED BY

category theory

Wikipedia

functor

Wikidata

functor

Wiktionary

functor

OmegaWiki

functor

Wikipedia Redirections

bifunctor, Category homomorphism, Cofunctor, constant functor, contravariant functor, Covariance (categories), Covariance and contravariance (category theory), covariance and contravariance of functors, covariant functor, Dual functor, endofunctor, Functor (category theory), functorial, functoriality, functors, identity functor, multifunctor, opposite functor, Selection functor

Wikidata Alias

contravariant functor, covariant functor