A microscopic approach to Souslin-tree constructions. I.

DOI10.1016/j.apal.2017.05.003zbMath1422.03093arXiv1601.01821OpenAlexW4232411050MaRDI QIDQ2404650

Ari Meir Brodsky, Assaf Rinot

Publication date: 19 September 2017

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.01821

zbMATH Keywords

square principlemicroscopic approachparameterized proxy principlecoherence relationregressive treeuniformly coherent Souslin tree

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05) Other set-theoretic hypotheses and axioms (03E65)

Related Items (18)

Ramsey theory over partitions III: Strongly Luzin sets and partition relations ⋮ A microscopic approach to Souslin-tree construction. II ⋮ A microscopic approach to Souslin-tree constructions. I. ⋮ Same graph, different universe ⋮ Aronszajn trees, square principles, and stationary reflection ⋮ Souslin trees at successors of regular cardinals ⋮ A large pairwise far family of Aronszajn trees ⋮ SQUARE WITH BUILT-IN DIAMOND-PLUS ⋮ REDUCED POWERS OF SOUSLIN TREES ⋮ A Forcing Axiom Deciding the Generalized Souslin Hypothesis ⋮ On the complexity of classes of uncountable structures: trees on $\aleph _1$ ⋮ Pseudo-Prikry sequences ⋮ A remark on Schimmerling's question ⋮ Fake reflection ⋮ On the ideal \(J[\kappa\)] ⋮ More notions of forcing add a Souslin tree ⋮ Was Ulam right? I: basic theory and subnormal ideals ⋮ A guessing principle from a Souslin tree, with applications to topology

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