In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, each point of an n-dimensional manifold has a neighbourhood that is homeomorphic to the Euclidean space of dimension n. ... Two-dimensional manifolds are also called surfaces.
Manifold - Wikipedia
https://en.wikipedia.org/wiki/Manifold
Manifold -- from Wolfram MathWorld
mathworld.wolfram.com/Manifold.html
Manifolds are therefore of interest in the study of geometry, topology, and analysis. A submanifold is a subset of a manifold that is itself a manifold, but has smaller dimension. For example, the equator of a sphere is a submanifold. Many common examples of manifolds are submanifolds of Euclidean space.
Manifold - Wikipedia
https://en.wikipedia.org/wiki/Manifold
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