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REFLECTION OF STATIONARY SETS AND THE TREE PROPERTY AT THE SUCCESSOR OF A SINGULAR CARDINAL

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Publication:5738202
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DOI10.1017/jsl.2016.13zbMath1419.03040OpenAlexW2581434545MaRDI QIDQ5738202

Menachem Magidor, Laura Fontanella

Publication date: 1 June 2017

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jsl.2016.13

zbMATH Keywords

large cardinalstree propertyreflection of stationary sets


Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05)


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SQUARES AND NARROW SYSTEMS, THE EIGHTFOLD WAY



Cites Work

  • Unnamed Item
  • Fragility and indestructibility of the tree property
  • A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals
  • Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
  • The tree property at successors of singular cardinals
  • THE TREE PROPERTY UP TO אω+1
  • On the Existence of κ-Free Abelian Groups
  • Saturated ideals
  • When Does Almost Free Imply Free? (For Groups, Transversals, etc.)
  • The tree property at ℵω+1
  • Aronszajn trees and the independence of the transfer property
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