Monatshefte für Mathematik

, Volume 152, Issue 3, pp 207–215

Distinguishing groupwise density numbers

Authors

  • Jörg Brendle
    • Kobe University
Article

DOI: 10.1007/s00605-007-0465-5

Cite this article as:
Brendle, J. Mh Math (2007) 152: 207. doi:10.1007/s00605-007-0465-5

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

Copyright information

© Springer-Verlag 2007