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:

    “Time in his little cinema of the heart
    Giving a première to Hate and Pain;
    And Space urbanely keeping us apart.”
    —Philip Larkin (1922–1986)