The failure of diamond on a reflecting stationary set
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Publication:5389411
DOI10.1090/S0002-9947-2011-05355-9zbMath1250.03095MaRDI QIDQ5389411
Publication date: 26 April 2012
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05) Ordered sets and their cofinalities; pcf theory (03E04)
Related Items (10)
Meeting numbers and pseudopowers ⋮ Reflection principles, GCH and the uniformization properties ⋮ On the existence of skinny stationary subsets ⋮ A Forcing Axiom Deciding the Generalized Souslin Hypothesis ⋮ Diamond, scales and GCH down to \(\aleph_{\omega^2}\) ⋮ Diamond, GCH and weak square ⋮ The Ostaszewski square and homogeneous Souslin trees ⋮ Towers and clubs ⋮ Putting a diamond inside the square ⋮ Sigma-Prikry forcing I: The Axioms
Cites Work
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- Martin's maximum, saturated ideals, and nonregular ultrafilters. I
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- The uniformization property for \(chi_ 2\).
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- Successors of Singular Cardinals
- A topological reflection principle equivalent to Shelah’s strong hypothesis
- Diamond, GCH and weak square
- Diamonds
- Diamonds, uniformization
- Less saturated ideals
- A very weak square principle
- A relative of the approachability ideal, diamond and non-saturation
- Separating stationary reflection principles
- Guessing clubs in the generalized club filter
- On SCH and the approachability property
- The fine structure of the constructible hierarchy
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