Tag Archives: weak Kurepa tree

Diamond on Kurepa trees

Joint work with Ziemek Kostana and Saharon Shelah. Abstract. We introduce a new weak variation of diamond that is meant to only guess the branches of a Kurepa tree. We demonstrate that this variation is considerably weaker than diamond by … Continue reading

Posted in Preprints, Squares and Diamonds | Tagged , , , , | 1 Comment

Sums of triples in Abelian groups

Joint work with Ido Feldman. Abstract. Motivated by a problem in additive Ramsey theory, we extend Todorcevic’s partitions of three-dimensional combinatorial cubes to handle additional three-dimensional objects. As a corollary, we get that if the continuum hypothesis fails, then for … Continue reading

Posted in Groups, Partition Relations | Tagged , , , , , | 1 Comment