Many normal measures

Shimon Garti

doi:10.1215/00294527-2688060

Many normal measures

Shimon Garti^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	349-357
Number of pages	9
Journal	Notre Dame Journal of Formal Logic
Volume	55
Issue number	3
DOIs	https://doi.org/10.1215/00294527-2688060
State	Published - 2014

Keywords

Club filter
Compact cardinal
Measurable cardinal
Normal measure

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10.1215/00294527-2688060

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Many normal measures

Abstract

Keywords

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