Definition 65.33.2. Let $S$ be a scheme. Let $f : X \to Y$ be a morphism of algebraic spaces over $S$. Let $d \in \{ 0, 1, 2, \ldots \} $.

We say $f$ has

*relative dimension $\leq d$*if $f$ has relative dimension $\leq d$ at all $x \in |X|$.We say $f$ has

*relative dimension $d$*if $f$ has relative dimension $d$ at all $x \in |X|$.

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