terminal object

English

terminal object (plural terminal objects)

(category theory) An object within a category which receives arrows from all other objects in that category, and such that each of these arrows is unique.
In the category of sets, a terminal object is any singleton, since there exists a unique function, namely the constant function, from any given set into that singleton.
The terminal object is the limit over the empty diagram.

单词	terminal object
释义	terminal object English Noun terminal object (plural terminal objects) (category theory) An object within a category which receives arrows from all other objects in that category, and such that each of these arrows is unique. In the category of sets, a terminal object* is any singleton, since there exists a unique function, namely the constant function, from any given set into that singleton.* The terminal object* is the limit over the empty diagram.* Antonyms initial object Hypernyms limit Hyponyms null object = zero object
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