Smooth Structure

In mathematics, a smooth structure on a manifold allows for an unambiguous notion of smooth function. In particular, a smooth structure allows one to perform mathematical analysis on the manifold.

Read more about Smooth Structure:  Definition, Maximal Smooth Atlases, Equivalence of Smooth Structures, Exotic Spheres, Related Structures

Famous quotes containing the words smooth and/or structure:

    We are born with luck
    which is to say with gold in our mouth.
    As new and smooth as a grape,
    as pure as a pond in Alaska,
    as good as the stem of a green bean
    we are born and that ought to be enough....
    Anne Sexton (1928–1974)

    The question is still asked of women: “How do you propose to answer the need for child care?” That is an obvious attempt to structure conflict in the old terms. The questions are rather: “If we as a human community want children, how does the total society propose to provide for them?”
    Jean Baker Miller (20th century)