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)
“Perhaps a modern society can remain stable only by eliminating adolescence, by giving its young, from the age of ten, the skills, responsibilities, and rewards of grownups, and opportunities for action in all spheres of life. Adolescence should be a time of useful action, while book learning and scholarship should be a preoccupation of adults.”
—Eric Hoffer (1902–1983)