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Strongly normal ideals on \(\mathcal P_ \kappa \lambda\) and the sup-function

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Publication:675108
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DOI10.1016/S0166-8641(96)00048-XzbMath0870.03020MaRDI QIDQ675108

Yoshihiro Abe

Publication date: 27 April 1997

Published in: Topology and its Applications (Search for Journal in Brave)


zbMATH Keywords

saturated idealminimal idealsRudin-Keisler orderstrongly normal ideal


Mathematics Subject Classification ID

Large cardinals (03E55) Other combinatorial set theory (03E05)


Related Items (2)

Splitting \({\mathcal P}_\kappa \lambda\) into maximally many stationary sets ⋮ Weak saturation of ideals on P κ (λ)



Cites Work

  • Saturation of fundamental ideals on \({\mathcal P}_ \kappa \lambda\)
  • Some partition relations for ideals on \(P_{\kappa}\lambda\)
  • On the existence of strongly normal ideals over \(P_{\kappa}\lambda\)
  • Menas' conjecture and generic ultrapowers
  • On the size of closed unbounded sets
  • Weakly Normal Filters and the Closed Unbounded Filter on P κ λ
  • The Minimal Normal Filter on P κ λ
  • On strong compactness and supercompactness
  • Weakly normal ideals ou PKl and the singular cardinal hypothesis
  • Potent Axioms
  • Some combinatorial problems concerning uncountable cardinals
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