On a convenient property about \([\gamma]^{\aleph_0}\)

DOI10.1007/s00153-009-0142-6zbMath1178.03063OpenAlexW1978571422MaRDI QIDQ1031830

David Asperó

Publication date: 23 October 2009

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-009-0142-6

zbMATH Keywords

partitionsposetsclubstationary setsbounded Martin's maximumbounded semiproper forcing axiomsharps

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05) Generic absoluteness and forcing axioms (03E57)

Cites Work

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• On the consistency strength of accessible Jonsson cardinals and of the weak Chang conjecture
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• Bounded forcing axioms as principles of generic absoluteness
• The size of \(\widetilde T\)
• Canonical functions, non-regular ultrafilters and Ulam's problem on ω₁
• Countable approximations and Löwenheim-Skolem theorems
• Flipping properties: A unifying thread in the theory of large cardinals
• An ideal game
• Projective Stationary Sets and a Strong Reflection Principle
• Bounded Martin's Maximum, weak Erdӧs cardinals, and ψ_Ac
• The bounded proper forcing axiom
• Bounded forcing axioms and the continuum

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