Remark 99.12.4. If $\mathcal{X}$ is a nonempty stack of finite type over a field, then $\dim (\mathcal{X})$ is an integer. For an arbitrary locally Noetherian algebraic stack $\mathcal{X}$, $\dim (\mathcal{X})$ is in $Z\cup \{ \pm \infty \} $, and $\dim (\mathcal{X}) = -\infty $ if and only if $\mathcal{X}$ is empty.

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