Σ1(κ)-DEFINABLE SUBSETS OF H(κ+)
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Publication:5359578
DOI10.1017/jsl.2017.36zbMath1422.03110arXiv1710.09766OpenAlexW2751908908MaRDI QIDQ5359578
Philipp Lücke, Philipp Schlicht, Ralf-Dieter Schindler
Publication date: 26 September 2017
Published in: The Journal of Symbolic Logic (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.09766
large cardinalswell-ordersiterated ultrapowersclub filternonstationary idealBernstein sets\(\Sigma_1\)-definabilityiterated generic ultrapowerslightface formulas
Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55) Other notions of set-theoretic definability (03E47)
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Partition properties for simply definable colourings, -definability at higher cardinals: Thin sets, almost disjoint families and long well-orders, Measurable cardinals and good ‐wellorderings, STABLY MEASURABLE CARDINALS, Closed maximality principles and generalized Baire spaces, NS SATURATED AND -DEFINABLE
Cites Work
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- The Hurewicz dichotomy for generalized Baire spaces
- Greatly Erdős cardinals with some generalizations to the Chang and Ramsey properties
- The bounded proper forcing axiom and well orderings of the reals
- Precipitous ideals and \(\sum^1_4\) sets
- Complexity of reals in inner models of set theory
- The axiom of determinacy, forcing axioms, and the nonstationary ideal
- Inner models with many Woodin cardinals
- Thin equivalence relations and inner models
- KWithout the Measurable
- Woodin's axiom (*), bounded forcing axioms, and precipitous ideals on ω1
- -definability at uncountable regular cardinals
- Simplest possible locally definable well-orders
- Ramsey-like cardinals
- Ramsey-like cardinals II
- An Outline of Inner Model Theory
- A Core Model Toolbox and Guide
- Forcing over Models of Determinacy
- Semi-proper forcing, remarkable cardinals, and Bounded Martin's Maximum
- A Brief History of Determinacy
- Precipitous ideals
- Trees and -subsets of ω1ω1
- PERFECT SUBSETS OF GENERALIZED BAIRE SPACES AND LONG GAMES
- Set Theory
- The bounded proper forcing axiom
- Optimal Proofs of Determinacy
- Locally Σ1-definable well-orders of H(κ+)
- Δ1-Definability of the non-stationary ideal at successor cardinals