## Tag `006W`

Chapter 6: Sheaves on Spaces > Section 6.7: Sheaves

Definition 6.7.4. Let $X$ be a topological space. Let $A$ be a set. The

constant sheaf with value $A$denoted $\underline{A}$, or $\underline{A}_X$ is the sheaf that assigns to an open $U \subset X$ the set of all locally constant maps $U \to A$ with restriction mappings given by restrictions of functions.

The code snippet corresponding to this tag is a part of the file `sheaves.tex` and is located in lines 587–594 (see updates for more information).

```
\begin{definition}
\label{definition-constant-sheaf}
Let $X$ be a topological space. Let $A$ be a set.
The {\it constant sheaf with value $A$} denoted $\underline{A}$, or
$\underline{A}_X$ is the sheaf that assigns to an open $U \subset X$
the set of all locally constant maps $U \to A$ with restriction mappings
given by restrictions of functions.
\end{definition}
```

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