13/04/24 22:14:02.44
英語版の方が詳しい
URLﾘﾝｸ(en.wikipedia.org)
Smale began his career as an instructor at the college at the University of Chicago.
In 1958, he astounded the mathematical world with a proof of a sphere eversion.
He then cemented his reputation with a proof of the Poincare conjecture for all dimensions greater than or equal to 5, published in 1961;
in 1962 he generalized the ideas in a 107 page paper that established the h-cobordism theorem.
In 1998 he compiled a list of 18 problems in mathematics to be solved in the 21st century, known as Smale's problems.
This list was compiled in the spirit of Hilbert's famous list of problems produced in 1900.
In fact, Smale's list contains some of the original Hilbert problems, including the Riemann hypothesis and the second half of Hilbert's sixteenth problem, both of which are still unsolved.
Other famous problems on his list include the Poincare conjecture, the P = NP problem, and the Navier-Stokes equations, all of which have been designated Millennium Prize Problems by the Clay Mathematics Institute.