Monatshefte für Mathematik

, Volume 152, Issue 3, pp 207–215

Distinguishing groupwise density numbers

  • Jörg Brendle
Article

Abstract.

We show that \({\frak g}<{\frak g}_f\) is consistent, where \({\frak g}\) is the groupwise density number and \({\frak g}_f\) is the groupwise density number for ideals. This answers a question of Heike Mildenberger.

2000 Mathematics Subject Classification: 03E17, 03E35 
Key words: Groupwise dense family, groupwise dense ideal, groupwise density number, iterated forcing, Laver forcing, diamond principle 

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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  • Jörg Brendle
    • 1
  1. 1.Kobe UniversityKobeJapan

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