terminal object

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English

English Wikipedia has an article on:

Initial and terminal objects

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.

Synonyms

final object

Antonyms

initial object

Hypernyms

limit

Hyponyms

null object = zero object

Translations

Translations

German: Endobjekt n, finales Objekt n, terminales Objekt n
Russian: конечный объект m (konečnyj obʺjekt), терминальный объект m (terminalʹnyj obʺjekt)

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