Category:Sheafifications

This category contains results about Sheafifications.
Definitions specific to this category can be found in Definitions/Sheafifications.

Let $X$ be a topological space.

Let $\mathbf C$ be a category.

Let $\FF$ be a $\mathbf C$-valued presheaf on $X$.

Definition 1

This definition needs to be completed. In particular: as a representation of a functor You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by adding or completing the definition. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{DefinitionWanted}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.

Definition 2

Let $\FF$ be a presheaf of sets.

The sheafification of $\FF$ is the sheaf of continuous sections of its étalé space $\map {\operatorname {\acute Et} } \FF$.