Tag Archives: specializable Souslin tree

Proxy principles in combinatorial set theory

Joint work with Ari Meir Brodsky and Shira Yadai. Abstract. The parameterized proxy principles were introduced by Brodsky and Rinot in a 2017 paper as new foundations for the construction of κ-Souslin trees in a uniform way that does not … Continue reading

Posted in Preprints, Souslin Hypothesis | Tagged , , , , , , , | 1 Comment

A remark on Schimmerling’s question

Joint work with Ari Meir Brodsky. Abstract. Schimmerling asked whether ◻λ together with GCH entails the existence of a λ+-Souslin tree, for a singular cardinal λ. Here, we provide an affirmative answer under the additional assumption that there exists a … Continue reading

Posted in Publications, Souslin Hypothesis | Tagged , , , , , , , , , , | 1 Comment