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Weak diamond and Galvin's property

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Publication:524185
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DOI10.1007/s10998-016-0153-0zbMath1399.03012arXiv1603.06684OpenAlexW3099839835MaRDI QIDQ524185

Shimon Garti

Publication date: 25 April 2017

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.06684


zbMATH Keywords

Martin's axiomproper forcing axiomGalvin's propertyweak diamondweakly inaccessible cardinals


Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05) Generic absoluteness and forcing axioms (03E57)


Related Items (7)

Intermediate models of Magidor-Radin forcing. II ⋮ Kurepa trees and the failure of the Galvin property ⋮ Forcing axioms and the Galvin number ⋮ Negating the Galvin property ⋮ Tiltan ⋮ Amenable colorings ⋮ (Weak) diamond can fail at the least inaccessible cardinal



Cites Work

  • Unnamed Item
  • Forcing axioms and stationary sets
  • A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
  • Middle diamond
  • Proper Forcing
  • On the intersection of closed unbounded sets
  • The bounded proper forcing axiom
  • SET MAPPING REFLECTION


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