Some new upper bounds in consistency strength for certain choiceless large cardinal patterns

DOI10.1007/BF01269948zbMath0755.03028OpenAlexW2046252708MaRDI QIDQ1190617

Arthur W. Apter

Publication date: 26 September 1992

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

Full work available at URL: https://doi.org/10.1007/bf01269948

zbMATH Keywords

consistency strengthsingular cardinalsextendersalmost huge cardinal

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Determinacy principles (03E60)

Related Items (7)

A remark on the tree property in a choiceless context ⋮ AD and patterns of singular cardinals below Θ ⋮ Making all cardinals almost Ramsey ⋮ Supercompactness and measurable limits of strong cardinals ⋮ On a problem of Foreman and Magidor ⋮ On the class of measurable cardinals without the axiom of choice ⋮ All uncountable cardinals in the Gitik model are almost Ramsey and carry Rowbottom filters

Cites Work

• Some results on consecutive large cardinals. II: Applications of Radin forcing
• On a problem inspired by determinacy
• On certain indestructibility of strong cardinals and a question of Hajnal
• On the singular cardinals problem. I
• On the singular cardinals problem. II
• The generalized continuum hypothesis can fail everywhere
• Sets constructed from sequences of measures: Revisited
• The core model for sequences of measures. I
• Regular Cardinals in Models of ZF
• Projective determinacy
• A Proof of Projective Determinacy
• A Model in Which GCH Holds at Successors but Fails at Limits

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