Universal forcing notions and ideals

Andrzej Rosłanowski*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Our main result states that a finite iteration of Universal Meager forcing notions adds generic filters for many forcing notions determined by universality parameters. We also give some results concerning cardinal characteristics of the σ-ideals determined by those universality parameters.

Original languageEnglish
Pages (from-to)179-196
Number of pages18
JournalArchive for Mathematical Logic
Volume46
Issue number3-4
DOIs
StatePublished - Apr 2007

Keywords

  • σ-ideals
  • ccc forcing notions
  • Sweet forcing notions
  • Universal forcing notions
  • Universality parameters

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