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Sheaf space

This article should be merged with local homeomorphism.

Given two topological spaces E and X and a continuous map π:E->X, E is an étale space over X (with respect to π) if π is a local homeomorphism. In other words, for every element x of E, there exists a neighborhood of it such that π restricted to this neighborhood is a homeomorphism to an open subset of X.

See also covering map, sheaf.

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