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hàm tử
EntityQ864475· pop 28· linked from 601 articles

Also known as covariant functor, contravariant functor

In mathematics, specifically category theory, a functor is a mapping between categories. Functors were first considered in algebraic topology, where algebraic objects (such as the fundamental group) are associated to topological spaces, and maps between these algebraic objects are associated to continuous maps between spaces. Nowadays, functors are used throughout modern mathematics to relate various categories. Thus, functors are important in every area of mathematics where category theory is applied.

In the Vinony graph

Within Vinony's link graph, hàm tử is referenced by 601 other articles, and connects out to universal property, strict 2-category and continuous function.

It is catalogued under the topic Functors.

Its subject is documented across 29 Wikipedia language editions.

Wikidata facts

Subclass of
function
Image
Commutative diagram of a functor.svg
Show 6 more facts
topic's main category
Category:Functors
discoverer or inventor
Saunders Mac Lane
Commons category
Functors
studied by
category theory
different from
function object
maintained by WikiProject
WikiProject Mathematics
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via Wikidata · CC0

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