Partition Relations for Hurewicz-Type Selection Hypotheses

Nadav Samet, Weizmann Institute of Science
Marion Scheepers, Boise State University
Boaz Tsaban, Bar-Ilan University, Ramat Gan

Abstract

We give a general method to reduce Hurewicz-type selection hypotheses into standard ones. The method covers the known results of this kind and gives some new ones. Building on that, we show how to derive Ramsey theoretic characterizations for these selection hypotheses.