Tag Archives: Luzin set

A new small Dowker space

Joint work with Roy Shalev and Stevo Todorcevic. Abstract. It is proved that if there exists a Luzin set, or if either the stick principle or $\diamondsuit(\mathfrak b)$ hold, then an instance of the guessing principle $\clubsuit_{AD}$ holds at the … Continue reading

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

Ramsey theory over partitions III: Strongly Luzin sets and partition relations

Joint work with Menachem Kojman and Juris Steprāns. Abstract.  The strongest type of coloring of pairs of countable ordinals, gotten by Todorcevic from a strongly Luzin set, is shown to be equivalent to the existence of a nonmeager set of … Continue reading

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

6th European Set Theory Conference, July 2017

I gave a 3-lecture tutorial at the 6th European Set Theory Conference in Budapest, July 2017. Title: Strong colorings and their applications. Abstract. Consider the following questions. Is the product of two $\kappa$-cc partial orders again $\kappa$-cc? Does there exist … Continue reading

Posted in Invited Talks, Open Problems | Tagged , , , , , | 4 Comments