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• 12:29, 24 March 2026 InfernalAtom683 talk contribs created page Locally Euclidean space (Created page with "A '''locally Euclidean space''' is a topological space that resembles a Euclidean space locally. Specifically, every point in a locally Euclidean space has an open neighborhood that is homeomorphic to an open subset in <math>\mathbb{R}^n</math>. The concept of locally Euclidean space is a central object in the definition of topological manifold. == Definition == A topological space <math>X</math> is locally Euclidean of dimension <math>n</math>, if for every...") Tag: Visual edit