The Stacks project

Definition 66.9.2. Let $S$ be a scheme. Let $X$ be an algebraic space over $S$. The dimension $\dim (X)$ of $X$ is defined by the rule

\[ \dim (X) = \sup \nolimits _{x \in |X|} \dim _ x(X) \]

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View Definition 66.9.2 as pdf