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Groupwise density cannot be much bigger than the unbounded number

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3 Scopus citations

Abstract

We prove that g (the groupwise density number) is smaller or equal to b+, the successor of the minimal cardinality of an unbounded subset of ωω. This is true even for the version of g for groupwise dense ideals.

Original languageEnglish
Pages (from-to)340-344
Number of pages5
JournalMathematical Logic Quarterly
Volume54
Issue number4
DOIs
StatePublished - Jul 2008

Keywords

  • Cardinal characteristics of the continuum
  • Groupwise density
  • Unbounded number

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