Displaying similar documents to “Relationships between families of thin sets”

Some results on Kronecker, Dirichlet and Helson sets

Thomas-William Korner (1970)

Annales de l'institut Fourier

Similarity:

We construct the following: a perfect non Dirichlet set every proper closed subset of which is Kronecker, A weak Kronecker set which is not an R set; an independent countable Dirichlet set which is not Kronecker; a collection of q -disjoint Kronecker sets whose union is independent but Helson 1 / q ; A countable collection of disjoint Kronecker sets whose union is closed and independent but not Helson: a perfect independent Dirichlet set which is not Helson.