What is the concept of manifold?

This means that, no matter where you look on the manifold, you can find a small region around any point that looks and behaves like a piece of ordinary n-dimensional space.

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In the realm of mathematics, a manifold is a concept that describes a specific type of topological space. This space is characterized by its local resemblance to Euclidean space near each of its points.

To elaborate, an n-dimensional manifold, often abbreviated as n-manifold, possesses a unique property. Each point within this topological space has a neighborhood that is homeomorphic to an open subset of Euclidean space.

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