Lemma 7.15.2 (00XC)—The Stacks project

Processing math: 100%

Table of contents
Part 1: Preliminaries
Chapter 7: Sites and Sheaves
Section 7.15: Topoi
Lemma 7.15.2 (cite)

previous definition
next remark

numberstags

history
statistics
3 tags refer to this tag

Lemma 7.15.2. Given a morphism of sites $f : \mathcal{D} \to \mathcal{C}$ corresponding to the functor $u : \mathcal{C} \to \mathcal{D}$ the pair of functors $(f^{-1} = u_ s, f_* = u^ s)$ is a morphism of topoi.

Proof. This is obvious from Definition 7.14.1. $\square$

Comments (0)

There are also:

5 comment(s) on Section 7.15: Topoi

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