The Stacks project

Lemma 67.8.4. The base change of a quasi-compact morphism of algebraic spaces by any morphism of algebraic spaces is quasi-compact.

Proof. Omitted. Hint: Transitivity of fibre products. $\square$


Comments (1)

Comment #659 by on

So of course yes I agree with this, but I do not think this will help somebody who has trouble with this lemma. For example where are you taking these fibre products? I think the proof of this lemma involves just a tiny bit more. What you are saying is a hint. So I'll put it in as a hint.


Post a comment

Your email address will not be published. Required fields are marked.

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).

Unfortunately JavaScript is disabled in your browser, so the comment preview function will not work.

All contributions are licensed under the GNU Free Documentation License.




In order to prevent bots from posting comments, we would like you to prove that you are human. You can do this by filling in the name of the current tag in the following input field. As a reminder, this is tag 03HF. Beware of the difference between the letter 'O' and the digit '0'.