The diagonal reflection principle
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Publication:2845564
DOI10.1090/S0002-9939-2011-11103-1zbMath1291.03082MaRDI QIDQ2845564
Publication date: 2 September 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05) Generic absoluteness and forcing axioms (03E57)
Related Items (7)
Strong downward Löwenheim-Skolem theorems for stationary logics. II: Reflection down to the continuum ⋮ THE DIAGONAL STRONG REFLECTION PRINCIPLE AND ITS FRAGMENTS ⋮ Strong downward Löwenheim-Skolem theorems for stationary logics. I ⋮ FORCING AXIOMS, APPROACHABILITY, AND STATIONARY SET REFLECTION ⋮ PFA and ideals on \(\omega_{2}\) whose associated forcings are proper ⋮ Martin's maximum revisited ⋮ Reflection principles, generic large cardinals, and the continuum problem
Cites Work
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- Covering theorems for the core model, and an application to stationary set reflection
- Smoke and mirrors: combinatorial properties of small cardinals equiconsistent with huge cardinals
- Some exact equiconsistency results in set theory
- Martin's maximum, saturated ideals, and nonregular ultrafilters. I
- The axiom of determinacy, forcing axioms, and the nonstationary ideal
- Ideals and Generic Elementary Embeddings
- On the Weak Reflection Principle
- A new class of order types
- Projective Stationary Sets and a Strong Reflection Principle
- Reflecting stationary sets
- Separating stationary reflection principles
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