Tag Archives: 05C05

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

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A microscopic approach to Souslin-tree constructions. Part I

Joint work with Ari Meir Brodsky. Abstract.  We propose a parameterized proxy principle from which κ-Souslin trees with various additional features can be constructed, regardless of the identity of κ. We then introduce the microscopic approach, which is a simple … Continue reading

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Reduced powers of Souslin trees

Joint work with Ari Meir Brodsky. Abstract. We study the relationship between a κ-Souslin tree T and its reduced powers Tθ/U. Previous works addressed this problem from the viewpoint of a single power θ, whereas here, tools are developed … Continue reading

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