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Partition relations for Hurewicz-type selection hypotheses
Authors:Nadav Samet  Marion Scheepers
Institution:a Department of Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel
b Department of Mathematics, Boise State University, Boise, ID 83725, USA
c Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel
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.
Keywords:05C55  05D10  54D20
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