Definition:Sheafification
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Definition
Let $X$ be a topological space.
Let $\mathbf C$ be a category.
Let $\FF$ be a $\mathbf C$-valued presheaf on $X$.
Definition 1
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Definition 2
Let $\FF$ be a presheaf of sets.
The sheafification of $\FF$ is the sheaf of continuous sections of its étalé space $\map {\operatorname {\acute Et} } \FF$.
Also see
- Results about sheafifications can be found here.