Article contents
THE (α+2β)-INEQUALITY ON A TORUS
Published online by Cambridge University Press: 01 June 1998
Abstract
A theorem of Macbeath asserts that μ(A+B)[ges ]min(1, μ(A)+μ(B)) for any subsets A and B of a finite-dimensional torus. We conjecture that, when the obvious exceptions are excluded, a stronger inequality
formula here
holds, and we prove this conjecture under some technical restrictions.
- Type
- Notes and Papers
- Information
- Copyright
- The London Mathematical Society 1998
- 5
- Cited by