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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Famous quotes containing the word space:

    “With sturdy shoulders, space stands opposing all its weight to nothingness. Where space is, there is being.”
    —Friedrich Nietzsche (1844–1900)