The Stacks project

Definition 87.24.1. Let $S$ be a scheme. Let $f : Y \to X$ be a morphism of formal algebraic spaces over $S$.

  1. We say $f$ is locally of finite type if $f$ is representable by algebraic spaces and is locally of finite type in the sense of Bootstrap, Definition 80.4.1.

  2. We say $f$ is of finite type if $f$ is locally of finite type and quasi-compact (Definition 87.17.4).

Comments (0)

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Your email address will not be published.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 0AM4. Beware of the difference between the letter 'O' and the digit '0'.