Singular Cardinals and the PCF Theory
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Publication:4873892
DOI10.2307/421130zbMath0849.03040OpenAlexW2112190300MaRDI QIDQ4873892
Publication date: 28 October 1996
Published in: Bulletin of Symbolic Logic (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/6fee2a273c3f4a90446e4a41e93accec8e28c202
surveyGCHcardinal arithmeticSingular Cardinal HypothesisShelah's pcf theorySingular Cardinals Problem
Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations (03-02) Large cardinals (03E55) Ordinal and cardinal numbers (03E10)
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Products of topological groups and \(\omega\)-stability, ARONSZAJN TREES AND FAILURE OF THE SINGULAR CARDINAL HYPOTHESIS, Some problems in singular cardinals combinatorics
Cites Work
- Unnamed Item
- On measurable cardinals violating the continuum hypothesis
- Shelah's pcf theory and its applications
- Surrealist landscape with figures (a survey of recent results in set theory)
- On power of singular cardinals
- More on powers of singular cardinals
- Changing cofinalities and the nonstationary ideal
- Successors of singulars, cofinalities of reduced products of cardinals and productivity of chain conditions
- On certain indestructibility of strong cardinals and a question of Hajnal
- The negation of the singular cardinal hypothesis from \(o(\kappa)=\kappa ^{++}\)
- On a theorem of Silver
- Inequalities for cardinal powers
- On the singular cardinals problem. I
- On the singular cardinals problem. II
- Jonsson algebras in successor cardinals
- More on cardinal arithmetic
- The strength of the failure of the singular cardinal hypothesis
- The generalized continuum hypothesis can fail everywhere
- Products of regular cardinals and cardinal invariants of products of Boolean algebras
- The core model for sequences of measures. I
- A note on cardinal exponentiation
- The core model
- The covering lemma for K
- Adding closed cofinal sequences to large cardinals
- Cardinal arithmetic for skeptics
- Singular Cardinal Problem: Shelah's Theorem on 2ℵω
- On ideals of sets and the power set operation
- Singular Cardinals and the Generalized Continuum Hypothesis
- Chang's conjecture and powers of singular cardinals
- Extender based forcings
- Some strong axioms of infinity incompatible with the axiom of constructibility
- THE INDEPENDENCE OF THE CONTINUUM HYPOTHESIS
- Powers of regular cardinals
- Some applications of model theory in set theory
- The fine structure of the constructible hierarchy
- Powers of Singular Cardinals and a Strong Form of The Negation of The Generalized Continuum Hypothesis
- Consistency-Proof for the Generalized Continuum-Hypothesis
- What is Cantor's Continuum Problem?
