Definition 66.23.4. Let $S$ be a scheme. Let $X$ be an algebraic space over $S$. Let $x \in |X|$. The number of geometric branches of $X$ at $x$ is either $n \in \mathbf{N}$ if the equivalent conditions of Lemma 66.23.3 hold, or else $\infty $.
Definition 66.23.4. Let $S$ be a scheme. Let $X$ be an algebraic space over $S$. Let $x \in |X|$. The number of geometric branches of $X$ at $x$ is either $n \in \mathbf{N}$ if the equivalent conditions of Lemma 66.23.3 hold, or else $\infty $.
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