The Stacks project

Example 59.10.3. If $X$ is a topological space, then it has an associated site $X_{Zar}$ defined as follows: the objects of $X_{Zar}$ are the open subsets of $X$, the morphisms between these are the inclusion mappings, and the coverings are the usual topological (surjective) coverings. Observe that if $U, V \subset W \subset X$ are open subsets then $U \times _ W V = U \cap V$ exists: this category has fiber products. All the verifications are trivial and everything works as expected.


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Your email address will not be published.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 03NI. Beware of the difference between the letter 'O' and the digit '0'.