The Stacks project

Situation 102.4.1. Let $Y = \mathop{\mathrm{lim}}\nolimits _{i \in I} Y_ i$ be a limit of a directed system of algebraic spaces with affine transition morphisms. We assume that $X_ i$ is quasi-compact and quasi-separated for all $i \in I$. We also choose an element $0 \in I$.

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