initial object

An object within a category which sends out arrows to all other objects in that category, and such that each of these arrows is unique.

Noun

  1. An object within a category which sends out arrows to all other objects in that category, and such that each of these arrows is unique.
    • In the category of sets, the initial object is the empty set, since there exists a unique function, namely the empty function, from the empty set into any other given set.

Forms

initial objects

Antonyms

terminal object

Hyponyms

null object