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Generating the club filter on \({\mathcal P}_{\kappa}\lambda\)

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Publication:1612268
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DOI10.1016/S0166-8641(01)00159-6zbMath1010.03034OpenAlexW2011893600MaRDI QIDQ1612268

Masahiro Shioya

Publication date: 22 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(01)00159-6


zbMATH Keywords

square principleclub filterweak diagonal operator


Mathematics Subject Classification ID

Other combinatorial set theory (03E05)


Related Items (1)

Cofinality of normal ideals on \(P_\kappa(\lambda)\). II



Cites Work

  • Unnamed Item
  • Unnamed Item
  • A hierarchy of filters smaller than \(CF_{\kappa\lambda}\)
  • Two cardinal versions of diamond
  • Partitioning pairs of countable ordinals
  • Topics in set theory. Lebesgue measurability, large cardinals, forcing axioms, rho-functions
  • On the existence of large subsets of \([\lambda^{<\kappa}\) which contain no unbounded non-stationary subsets]
  • A direct weakening of normality for filters
  • Seminormal λ-generated ideals on Pκλ
  • The Minimal Normal Filter on P κ λ
  • Nowhere precipitousness of some ideals
  • Weakly normal closures of filters on Pκλ


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