The Stacks project

Definition 67.47.6. Let $S$ be a scheme. Let $X$ and $Y$ be algebraic spaces over $S$. Assume $|X|$ and $|Y|$ are irreducible. A rational map from $X$ to $Y$ is called dominant if any representative $f : U \to Y$ is a dominant morphism in the sense of Definition 67.18.1.

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