Large cardinal structures below ℵω

DOI10.2307/2274016zbMath0634.03050OpenAlexW2149358833MaRDI QIDQ3772208

Arthur W. Apter, James M. Henle

Publication date: 1986

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2274016

zbMATH Keywords

supercompact cardinalsmeasurable cardinalslarge cardinalsaxiom of determinatenessLevy collapseclub filternormal measureRadin forcing

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other aspects of forcing and Boolean-valued models (03E40) Determinacy principles (03E60)

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Cites Work

• Some results on consecutive large cardinals
• Some results on consecutive large cardinals. II: Applications of Radin forcing
• Infinitary combinatorics and the axiom of determinateness
• On the singular cardinals problem. I
• Successors of singular cardinals and measurability
• Measurable cardinals and the continuum hypothesis
• There are many normal ultrafilters corresponding to a supercompact cardinal
• Successive large cardinals
• Some combinatorial problems concerning uncountable cardinals