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.

Read more about this topic:  Submanifold

Famous quotes containing the word space:

    “This moment exhibits infinite space, but there is a space also wherein all moments are infinitely exhibited, and the everlasting duration of infinite space is another region and room of joys.”
    —Thomas Traherne (1636–1674)