Laver indestructibility and the class of compact cardinals

DOI10.2307/2586593zbMath0899.03038OpenAlexW1985752672MaRDI QIDQ4391428

Arthur W. Apter

Publication date: 2 June 1998

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

Full work available at URL: https://doi.org/10.2307/2586593

zbMATH Keywords

supercompact cardinalsmeasurable cardinalsindestructibilityLaver forcingstrongly compact cardinals\(\kappa\)-directed closed forcing

Mathematics Subject Classification ID

Large cardinals (03E55) Other aspects of forcing and Boolean-valued models (03E40)

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Cites Work

• Some results on consecutive large cardinals
• Some results on consecutive large cardinals. II: Applications of Radin forcing
• Martin's maximum, saturated ideals, and nonregular ultrafilters. I
• On certain indestructibility of strong cardinals and a question of Hajnal
• On the singular cardinals problem. II
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• Measurable cardinals and the continuum hypothesis
• On strong compactness and supercompactness
• Strong axioms of infinity and elementary embeddings