Equivalence of Smooth Structures
Let and be two maximal atlases on M. The two smooth structures associated to and are said to be equivalent if there is a homeomorphism such that .
Read more about this topic: Smooth Structure
Famous quotes containing the words smooth and/or structures:
“Hard labor and spare diet they had, and off wooden trenchers, but they had peace and freedom, and the wailing of the tempest in the woods sounded kindlier in their ear than the smooth voice of the prelates, at home, in England.”
—Ralph Waldo Emerson (18031882)
“If there are people who feel that God wants them to change the structures of society, that is something between them and their God. We must serve him in whatever way we are called. I am called to help the individual; to love each poor person. Not to deal with institutions. I am in no position to judge.”
—Mother Teresa (b. 1910)