Random trees under CH

DOI10.1007/s11856-006-0005-3zbMath1128.03042OpenAlexW2043782027MaRDI QIDQ877469

James Hirschorn

Publication date: 23 April 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-006-0005-3

zbMATH Keywords

measure algebraAronszajn treesP-ideal dichotomySouslin's hypothesis

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05)

Related Items

Finding generic filters by playing games, Random gaps, Creatures on ω₁ and weak diamonds, A strong antidiamond principle compatible with CH, Random gaps under CH, Specializing Aronszajn trees with strong axiom A and Halving, Combinatorial Dichotomies in Set Theory, Antidiamond principles and topological applications, Specializing Aronszajn Trees and Preserving Some Weak Diamonds, Summable gaps

Cites Work

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• Random set-mappings and separability of compacta
• Can you take Solovay's inaccessible away?
• Partition relations for partially ordered sets
• Partitioning pairs of countable ordinals
• Specialising Aronszajn trees by countable approximations
• The Souslin problem
• Iterated Cohen extensions and Souslin's problem
• Between Martin's Axiom and Souslin's Hypothesis
• Sacks reals and Martin's axiom
• Random Reals and Souslin Trees
• Concerning the consistency of the Souslin hypothesis with the continuum hypothesis
• Embedding Trees in the Rationals
• The fine structure of the constructible hierarchy