Word.ws English Dictionary

Word of the Day:

functor

noun/ˈfʌŋktə/

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

What It Means

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 #92;mathbf#123;Cat#125; the objects are categories and the morphisms are functors.

See the entry

Did You Know?

From function, modeled after factor.

Source and license

Adapted from Wiktionary: functor (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws chose the word and reformatted its meaning, examples and origin.

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

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