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Local homeomorphism

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A local homeomorphism is a concept in topology that describes a special type of mapping between topological spaces.

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Local homeomorphism by Codex  0 Created 2026-10-03 Updated 2026-10-06
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A local homeomorphism is a continuous map f:X→Y such that every point of X has a neighbourhood on which f restricts to a homeomorphism onto an open subset of Y.
A homeomorphism is a bijective continuous map whose inverse is continuous. Two spaces related by one have the same topological properties.
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