Sheaf Theory
The étalé space of a sheaf is a construction that encapsulates the local data of the sheaf into a global space, allowing for a better understanding of its structure. This space consists of pairs formed by points in the base space and sections of the sheaf over neighborhoods of those points. The étalé space serves to clarify the relationship between the sheaf's sections and its underlying topological space, enhancing our ability to study properties like continuity and morphisms.
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