Stationary cardinals
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Publication:1313598
DOI10.1007/BF01270466zbMath0784.03029OpenAlexW4233091920MaRDI QIDQ1313598
Publication date: 29 March 1994
Published in: Archive for Mathematical Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01270466
consistency strengthinaccessible cardinalindescribabilityclosed unbounded sets\(\kappa\)-complete normal filter1- club filter1-club setstationary cardinalstationary reflection pointsubtletyweak ineffability
Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55) Other combinatorial set theory (03E05)
Related Items (12)
Generalisations of stationarity, closed and unboundedness, and of Jensen's \(\square\) ⋮ Higher indescribability and derived topologies ⋮ Small models, large cardinals, and induced ideals ⋮ On $\Sigma _1^1$-completeness of quasi-orders on $\kappa ^\kappa $ ⋮ Characterizations of the weakly compact ideal on \(P_\kappa\lambda\) ⋮ Saturation of the weakly compact ideal ⋮ Orders of indescribable sets ⋮ Forcing a \(\square(\kappa)\)-like principle to hold at a weakly compact cardinal ⋮ The weakly compact reflection principle need not imply a high order of weak compactness ⋮ Reducibility of equivalence relations arising from nonstationary ideals under large cardinal assumptions ⋮ Fake reflection ⋮ Adding a nonreflecting weakly compact set
Cites Work
- The consistency strength of ``every stationary set reflects
- Some exact equiconsistency results in set theory
- Superstationary and \(ineffable^ n\) cardinals
- On ideals and stationary reflection
- Boolean extensions which efface the Mahlo property
- A new class of order types
- On splitting stationary subsets of large cardinals
- Ideals over uncountable sets: application of almost disjoint functions and generic ultrapowers
- Reflecting stationary sets
- Cardinal preserving ideals
- Boolean extensions and measurable cardinals
- The fine structure of the constructible hierarchy
- Multiple Forcing
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