Definition:Category of Sheaves on Topological Space
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Definition
Let $X$ be a topological space.
Let $\mathbf C$ be a category.
The category of $\mathbf C$-valued sheaves on $X$ is the category with:
Objects: | $\mathbf C$-valued sheaves on $X$ | |
Morphisms: | morphisms of presheaves | |
Composition: | composition of morphisms of presheaves | |
Identity morphisms: | identity morphisms on presheaves |
Also see
- Definition:Category of Presheaves on Topological Space
- Category of Abelian Sheaves on Topological Space is Abelian
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