# The Stacks Project

## Tag 07GE

Example 7.6.6. Let $\mathcal{C}$ be a category. There is a canonical way to turn this into a site where $\{\text{id}_U : U \to U\}$ are the coverings. Sheaves on this site are the presheaves on $\mathcal{C}$. This corresponding topology is called the chaotic or indiscrete topology.

The code snippet corresponding to this tag is a part of the file sites.tex and is located in lines 817–824 (see updates for more information).

\begin{example}
\label{example-indiscrete}
Let $\mathcal{C}$ be a category. There is a canonical way to turn this
into a site where $\{\text{id}_U : U \to U\}$ are the coverings.
Sheaves on this site are the presheaves on $\mathcal{C}$.
This corresponding topology is called the {\it chaotic} or
{\it indiscrete topology}.
\end{example}

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