Definition:Constant (Category Theory)

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This page is about Constant in the context of Category Theory. For other uses, see Constant.


Let $\mathbf C$ be a metacategory, and let $1$ be a terminal object of $\mathbf C$.

A constant of $\mathbf C$ is a morphism $f: 1 \to C$ of $\mathbf C$ which has $1$ as its domain.

Also known as

Among the various other names for this concept are global element (of $C$) and point (of $C$).

Compare variable element.

Also see