All uncountable cardinals in the Gitik model are almost Ramsey and carry Rowbottom filters

DOI10.1002/malq.201400050zbMath1432.03102OpenAlexW2342747967MaRDI QIDQ2813677

Ioanna Matilde Dimitriou, Peter Koepke, Arthur W. Apter

Publication date: 24 June 2016

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/malq.201400050

Mathematics Subject Classification ID

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

Related Items

Combinatorial properties and dependent choice in symmetric extensions based on Lévy collapse

Cites Work

• Making all cardinals almost Ramsey
• Some results on consecutive large cardinals. II: Applications of Radin forcing
• All uncountable cardinals can be singular
• Some new upper bounds in consistency strength for certain choiceless large cardinal patterns
• Measurable cardinals and the continuum hypothesis
• Identity crises and strong compactness
• The first measurable cardinal can be the first uncountable regular cardinal at any successor height
• How large is the first strongly compact cardinal? or a study on identity crises
• Laver indestructibility and the class of compact cardinals
• Comparison of the axioms of local and universal choice