Tag Archives: Cohen real

On the ideal J[kappa]

Abstract. Motivated by a question from a recent paper by Gilton, Levine and Stejskalova, we obtain a new characterization of the ideal J[κ], from which we confirm that κ-Souslin trees exist in various models of interest. As a corollary we … Continue reading

Posted in Publications, Souslin Hypothesis | 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 κ-cc partial orders again κ-cc? Does there exist … Continue reading

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

An S-space from a Cohen real

Recall that an S-space is a regular hereditarily separable topological space which is not hereditarily Lindelöf. In this post, we shall establish the consistency of the existence of such a space. Theorem (Roitman, 1979). Let C=(<ωω,) be the notion of … Continue reading

Posted in Blog, Expository | Tagged , | 6 Comments