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:
“Anthropology has always struggled with an intense, fascinated repulsion towards its subject.... [The anthropologist] submits himself to the exotic to confirm his own inner alienation as an urban intellectual.”
—Susan Sontag (b. 1933)
“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 (19021983)