Can a small forcing create Kurepa trees

DOI10.1016/S0168-0072(96)00018-8zbMath0876.03029arXivmath/9504220OpenAlexW2101210443MaRDI QIDQ1356977

Renling Jin, Saharon Shelah

Publication date: 30 October 1997

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

Full work available at URL: https://arxiv.org/abs/math/9504220

zbMATH Keywords

Aronszajn treeKurepa treeLévy modelstrongly inaccessible cardinal\((S,\omega)\)-proper forcing notion

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (2)

Indestructibility of some compactness principles over models of \(\mathsf{PFA} \) ⋮ Club degrees of rigidity and almost Kurepa trees

Cites Work

• The differences between Kurepa trees and Jech-Kunen trees
• Isomorphism types of Aronszajn trees
• Can you take Solovay's inaccessible away?
• Martin's maximum, saturated ideals, and nonregular ultrafilters. I
• Set theory. An introduction to independence proofs
• Proper forcing
• Forcing axioms and stationary sets
• Essential Kurepa trees versus essential Jech-Kunen trees
• Iterated Cohen extensions and Souslin's problem
• Saturation Properties of Ideals in Generic Extensions.II
• ℵ1-TREES
• Trees
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