Remark 68.6.3. Reasonable algebraic spaces are technically easier to work with than very reasonable algebraic spaces. For example, if $X \to Y$ is a quasi-compact étale surjective morphism of algebraic spaces and $X$ is reasonable, then so is $Y$, see Lemma 68.17.8 but we don't know if this is true for the property “very reasonable”. Below we give another technical property enjoyed by reasonable algebraic spaces.
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Your email address will not be published.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).
All contributions are licensed under the GNU Free Documentation License.