A characterization of cardinals \(\kappa\) such that \(2^{\lambda}=2^{\kappa}\) whenever \(\kappa \leq \lambda <2^{\kappa}\)

DOI10.1007/BF02764867zbMath0679.03019OpenAlexW2524820830MaRDI QIDQ1124587

Karel Prikry, Washek F. Pfeffer

Publication date: 1989

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02764867

zbMATH Keywords

saturated idealscharacterization of cardinalsideals in small subalgebras of the power set algebra

Mathematics Subject Classification ID

Other combinatorial set theory (03E05) Ordinal and cardinal numbers (03E10)

Related Items (1)

Some remarks on Washek Pfeffer's contributions in general topology

Cites Work

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• Extending Lebesgue measure by infinitely many sets
• A topological concept of smallness
• Ideals and powers of cardinals
• Almost-disjoint sets the dense set problem and the partition calculus
• Ideals over uncountable sets: application of almost disjoint functions and generic ultrapowers
• From accessible to inaccessible cardinals (Results holding for all accessible cardinal numbers and the problem of their extension to inaccessible ones)
• THE INDEPENDENCE OF THE CONTINUUM HYPOTHESIS
• Powers of regular cardinals

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