Lemma 34.12.1 (022J)—The Stacks project

Processing math: 100%

Table of contents
Part 2: Schemes
Chapter 34: Topologies on Schemes
Section 34.12: Change of big sites
Lemma 34.12.1 (cite)

next lemma

numberstags

history
statistics
1 tag refers to this tag

Lemma 34.12.1. Any set of big Zariski sites is contained in a common big Zariski site. The same is true, mutatis mutandis, for big fppf and big étale sites.

Proof. This is true because the union of a set of sets is a set, and the constructions in Sets, Lemmas 3.9.2 and 3.11.1 allow one to start with any initially given set of schemes and coverings. $\square$

Comments (0)

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).

Comments (0)

Post a comment