Many normal measures

Shimon Garti*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We characterize the situation of having at least (2κ) +-many normal ultrafilters on a measurable cardinal κ. We also show that if κ is a compact cardinal, then κ carries (2κ) +-many κ-complete ultrafilters, each of which extends the club filter on κ.

Original languageAmerican English
Pages (from-to)349-357
Number of pages9
JournalNotre Dame Journal of Formal Logic
Volume55
Issue number3
DOIs
StatePublished - 2014

Keywords

  • Club filter
  • Compact cardinal
  • Measurable cardinal
  • Normal measure

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