[{"word":"category","phonetic":"/ˈkætəˌɡɔɹi/","phonetics":[{"text":"/ˈkætəˌɡɔɹi/","audio":""},{"text":"/ˈkɛtɘɡ(ɘ)ɹi/","audio":""},{"text":"/ˈkætɪɡ(ə)ɹi/","audio":""},{"text":"/ˈkætəˌɡɔɹi/","audio":"https://api.dictionaryapi.dev/media/pronunciations/en/category-us.mp3","sourceUrl":"https://commons.wikimedia.org/w/index.php?curid=1779960","license":{"name":"BY-SA 3.0","url":"https://creativecommons.org/licenses/by-sa/3.0"}}],"meanings":[{"partOfSpeech":"noun","definitions":[{"definition":"A group, often named or numbered, to which items are assigned based on similarity or defined criteria.","synonyms":[],"antonyms":[],"example":"I wouldn't put this book in the same category as the author's first novel."},{"definition":"A collection of objects, together with a transitively closed collection of composable arrows between them, such that every object has an identity arrow, and such that arrow composition is associative.","synonyms":[],"antonyms":[],"example":"Just as a monoid consists of an underlying set with a binary operation \"on top of it\" which is closed, associative and with an identity, a category consists of an underlying digraph with an arrow composition operation \"on top of it\" which is transitively closed, associative, and with an identity at each object. In fact, a category's composition operation, when restricted to a single one of its objects, turns that object's set of arrows (which would all be loops) into a monoid."}],"synonyms":["class","family","genus","group","kingdom","order","phylum","race","tribe","type"],"antonyms":[]}],"license":{"name":"CC BY-SA 3.0","url":"https://creativecommons.org/licenses/by-sa/3.0"},"sourceUrls":["https://en.wiktionary.org/wiki/category"]}]