# Definition:Domain (Category Theory)

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

## Definition

Let $f: X \to Y$ be a morphism.

Then the **domain** of $f$ is defined to be the object $X$.

This is usually denoted $X = \Dom f$ or $X = \map D f$.

## Also see

- Results about
**morphisms**can be found**here**.

## Sources

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