Capturing sets of ordinals by normal ultrapowers

DOI10.1016/j.apal.2023.103261OpenAlexW2925202430MaRDI QIDQ2700806

Miha E. Habič, Radek Honzík

Publication date: 27 April 2023

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.10638

zbMATH Keywords

measurable cardinalnormal measurecapturing propertylocal capturing property

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55)

Cites Work

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• Aronszajn trees and the successors of a singular cardinal
• The negation of the singular cardinal hypothesis from \(o(\kappa)=\kappa ^{++}\)
• Possible values for \(2^{\aleph_n}\) and \(2^{\aleph_\omega}\)
• A Laver-like indestructibility for hypermeasurable cardinals
• Sets constructed from sequences of measures: Revisited
• Iterated Forcing and Elementary Embeddings
• The number of normal measures
• A Model in Which GCH Holds at Successors but Fails at Limits
• Menas’ Result is Best Possible
• Extensions with the approximation and cover properties have no new large cardinals
• JOINT DIAMONDS AND LAVER DIAMONDS
• Strong ultrapowers and long core models
• Tall cardinals
• On the strong equality between supercompactness and strong compactness

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