Department of
Applied
Mathematics

A new Ramsey property on Polish spaces

Jindrich Zapletal

University of Florida and Matematicky ustav AV

Abstract

A sigma-ideal on Polish space is polar if it is the intersection of some collection of null ideals obtained from Borel probability measures on the space. I will show that within a large class of sigma-ideals, polarity is characterized by a certain new Ramsey-style property of the ideal.