Submanifold - Submanifolds of Euclidean Space

Submanifolds of Euclidean Space

Manifolds are often defined as embedded submanifolds of Euclidean space Rn, so this forms a very important special case. By the Whitney embedding theorem any second-countable smooth n-manifold can be smoothly embedded in R2n.

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    “There is commonly sufficient space about us. Our horizon is never quite at our elbows.”
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