Exotic Spheres
John Milnor showed in 1956 that the 7-dimensional sphere admits a smooth structure that is not equivalent to the standard smooth structure. A sphere equipped with a nonstandard smooth structure is called an exotic sphere.
Read more about this topic: Smooth Structure
Famous quotes containing the words exotic and/or spheres:
“I did not know the woman I would be
nor that blood would bloom in me
each month like an exotic flower,
nor that children,
two monuments,
would break from between my legs....”
—Anne Sexton (1928–1974)
“The world has already learned that woman has other virtues than meekness, patience, humility and endurance. She possesses courage above all fear, and a will that knows no obstacles; and when these are called forth by some great emergency, false modesty is trampled in the dust, and spheres are scattered to the winds.”
—A. Holley, U.S. women’s magazine contributor. The Lily, p. 38 (May 1852)