Smale's problems are a list of eighteen unsolved problems in mathematics that was proposed by Steve Smale in 1998, republished in 1999. Smale composed this list in reply to a request from Vladimir Arnold, then vice-president of the International Mathematical Union, who asked several mathematicians to propose a list of problems for the 21st century. Arnold's inspiration came from the list of Hilbert's problems that had been published at the beginning of the 20th century.
List of problems
Smale also listed three additional problems:
- Mean value problem
- Is the three-sphere a minimal set?
- Is an Anosov diffeomorphism of a compact manifold topologically the same as the Lie group model of John Franks?
References
Smale's problems Wikipedia(Text) CC BY-SA