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Extending the ideal of nowhere dense subsets of rationals to a P-ideal

  • Filipów, Rafał
  • Mrożek, Nikodem
  • Recław, Ireneusz
  • Szuca, Piotr
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Publication date
January 2013
Icon DOI
10.4064/fm204-3-1
Publisher
Institute of Mathematics, Polish Academy of Sciences

Abstract

summary:We show that the ideal of nowhere dense subsets of rationals cannot be extended to an analytic P-ideal, $F_\sigma$ ideal nor maximal P-ideal. We also consider a problem of extendability to a non-meager P-ideals (in particular, to maximal P-ideals)

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