Making all cardinals almost Ramsey
From MaRDI portal
Publication:953283
DOI10.1007/s00153-008-0107-1zbMath1153.03022OpenAlexW2164277961MaRDI QIDQ953283
Publication date: 17 November 2008
Published in: Archive for Mathematical Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00153-008-0107-1
core modelindiscerniblessymmetric inner modelalmost Ramsey cardinalErdös cardinalRadin sequence of measuressupercompact Radin forcing
Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55) Partition relations (03E02) Axiom of choice and related propositions (03E25)
Related Items (4)
Remarks on Gitik's model and symmetric extensions on products of the Lévy collapse ⋮ Combinatorial properties and dependent choice in symmetric extensions based on Lévy collapse ⋮ How many normal measures can ℵω1+1 carry? ⋮ All uncountable cardinals in the Gitik model are almost Ramsey and carry Rowbottom filters
Cites Work
- Unnamed Item
- Some results on consecutive large cardinals
- The strength of choiceless patterns of singular and weakly compact cardinals
- 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
- The core model for almost linear iterations
- On the class of measurable cardinals without the axiom of choice
- The consistency strength of \(\aleph_\omega\) and \(\aleph_{\omega_1}\) being Rowbottom cardinals without the axiom of choice
- The generalized continuum hypothesis can fail everywhere
- On elementary embeddings from an inner model to the universe
- Regular Cardinals in Models of ZF
- The core model
- Adding closed cofinal sequences to large cardinals
- Successive weakly compact or singular cardinals
- A Cardinal Pattern Inspired by AD
This page was built for publication: Making all cardinals almost Ramsey
