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Tag 07GE

Chapter 7: Sites and Sheaves > Section 7.6: Sites

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 809–816 (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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