Lemma 64.12.2. Let $S \in \mathop{\mathrm{Ob}}\nolimits (\mathit{Sch}_{fppf})$ be a scheme. A composition of (closed, resp. open) immersions of algebraic spaces over $S$ is a (closed, resp. open) immersion of algebraic spaces over $S$.

Proof. See Lemma 64.5.4 and Remarks 64.4.3 (see very last line of that remark) and 64.4.2. $\square$

There are also:

• 4 comment(s) on Section 64.12: Immersions and Zariski coverings of algebraic spaces

In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar).