Lemma 4.34.3 (04Z6)—The Stacks project

Loading web-font TeX/Math/Italic

Table of contents
Part 1: Preliminaries
Chapter 4: Categories
Section 4.34: Inertia
Lemma 4.34.3 (cite)

previous definition

numberstags

history
statistics
1 tag refers to this tag

Lemma 4.34.3. Let $F : \mathcal{S} \to \mathcal{S}'$ be a $1$ -morphism of categories fibred over a category $\mathcal{C}$ . Then the diagram

$\xymatrix{ \mathcal{I}_{\mathcal{S}/\mathcal{S}'} \ar[d]_{F \circ (042H)} \ar[rr]_{(04Z5)} & & \mathcal{I}_\mathcal {S} \ar[d]^{(04Z4)} \\ \mathcal{S}' \ar[rr]^ e & & \mathcal{I}_{\mathcal{S}'} }$

is a $2$ -fibre product.

Proof. Omitted. $\square$

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