Lemma 78.11.2 (043X)—The Stacks project

Loading [MathJax]/extensions/tex2jax.js

Table of contents
Part 4: Algebraic Spaces
Chapter 78: Groupoids in Algebraic Spaces
Section 78.11: Groupoids in algebraic spaces
Lemma 78.11.2 (cite)

previous definition
next lemma

numberstags

history
statistics
2 tags refer to this tag

Lemma 78.11.2. Let $B \to S$ as in Section 78.3. Given a groupoid in algebraic spaces $(U, R, s, t, c)$ over $B$ the morphism $j : R \to U \times _ B U$ is a pre-equivalence relation.

Proof. Omitted. This is a nice exercise in the definitions. $\square$

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