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Some examples of precipitous ideals

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Publication:585196
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DOI10.1016/0168-0072(83)90029-5zbMath0524.03038OpenAlexW2073744563MaRDI QIDQ585196

William J. Mitchell, Thomas J. Jech

Publication date: 1983

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(83)90029-5


zbMATH Keywords

ultrapowerultrafiltersprecipitous idealsLevy collapsenormed idealuniformly normed ideal


Mathematics Subject Classification ID

Consistency and independence results (03E35)


Related Items (2)

More on the pressing down game ⋮ Some properties of \(\kappa\)-complete ideals defined in terms of infinite games



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Some properties of \(\kappa\)-complete ideals defined in terms of infinite games
  • Precipitous ideals and \(\sum^1_4\) sets
  • Inequalities for cardinal powers
  • Precipitous ideals
  • On a condition for Cohen extensions which preserve precipitous ideals
  • On ideals of sets and the power set operation
  • Ideals over uncountable sets: application of almost disjoint functions and generic ultrapowers
  • Powers of regular cardinals
  • Boolean extensions and measurable cardinals
  • Some applications of iterated ultrapowers in set theory


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