[{"word":"functors","phonetics":[],"meanings":[{"partOfSpeech":"noun","definitions":[{"definition":"(grammar) A function word.","synonyms":[],"antonyms":[]},{"definition":"A function object.","synonyms":[],"antonyms":[]},{"definition":"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.","synonyms":[],"antonyms":[],"example":"In the category of categories, \\mathbb{CAT}, the objects are categories and the morphisms are functors."}],"synonyms":[],"antonyms":[]}],"license":{"name":"CC BY-SA 3.0","url":"https://creativecommons.org/licenses/by-sa/3.0"},"sourceUrls":["https://en.wiktionary.org/wiki/functor","https://en.wiktionary.org/wiki/functors"]}]