Multi-invariant sets on compact abelian groups Academic Article uri icon


  • Let G be a finite-dimensional connected compact abelian group. Gener- alizing previous results, dealing with the case of finite-dimensional tori, a full characterization is given herewith of those commutative semigroups 2 of continuous endomorphisms of C which satisfy the following property: The only infinite closed 2-invariant subset of G is G itself.

publication date

  • January 1, 1984