Lemma 67.8.5 (03HG)—The Stacks project

Loading [MathJax]/extensions/tex2jax.js

Table of contents
Part 4: Algebraic Spaces
Chapter 67: Morphisms of Algebraic Spaces
Section 67.8: Quasi-compact morphisms
Lemma 67.8.5 (cite)

previous lemma
next lemma

numberstags

history
statistics
7 tags refer to this tag

Lemma 67.8.5. The composition of a pair of quasi-compact morphisms of algebraic spaces is quasi-compact.

Proof. Omitted. Hint: Transitivity of fibre products. $\square$

Comments (1)

Comment #648 by Kestutis Cesnavicius on June 01, 2014 at 14:51

Proof: This follows from the definition and the transitivity of the fiber product.

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 (1)

Post a comment