Generating ultrafilters in a reasonable way

Andrzej Rosłanowski*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We continue investigations of reasonable ultrafilters on uncountable cardinals defined in Shelah [8]. We introduce a general scheme of generating a filter on λ from filters on smaller sets and we investigate the combinatorics of objects obtained this way.

Original languageEnglish
Pages (from-to)202-220
Number of pages19
JournalMathematical Logic Quarterly
Volume54
Issue number2
DOIs
StatePublished - Apr 2008

Keywords

  • Forcing
  • Generating a filter
  • Reasonable ultrafilter
  • System of local filters
  • Uncountable cardinals

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