Some properties of \(\kappa\)-complete ideals defined in terms of infinite games

DOI10.1016/0168-0072(84)90039-3zbMath0582.03032OpenAlexW2030937275MaRDI QIDQ1068819

Thomas J. Jech

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0168-0072(84)90039-3

zbMATH Keywords

precipitous idealGalvin-Hajnal norm of an ordinal functionnormed idealsregular uncountable cardinal

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05) Ordinal and cardinal numbers (03E10)

Related Items

Distributive and related ideals in generic extensions ⋮ Precipitous towers of normal filters ⋮ On almost precipitous ideals ⋮ More on the pressing down game ⋮ Some examples of precipitous ideals ⋮ Winning the pressing down game but not Banach-Mazur ⋮ On weakly precipitous filters ⋮ Special partitions of Baire spaces and precipitous ideals

Cites Work

• Some examples of precipitous ideals
• Inequalities for cardinal powers
• Precipitous ideals
• On ideals of sets and the power set operation
• On splitting stationary subsets of large cardinals
• Chang's conjecture and powers of singular cardinals
• An ideal game
• Ideals over uncountable sets: application of almost disjoint functions and generic ultrapowers
• Some applications of iterated ultrapowers in set theory