## Notre Dame Journal of Formal Logic

### Many Normal Measures

Shimon Garti

#### Abstract

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

#### Article information

Source
Notre Dame J. Formal Logic, Volume 55, Number 3 (2014), 349-357.

Dates
First available in Project Euclid: 22 July 2014

https://projecteuclid.org/euclid.ndjfl/1406034051

Digital Object Identifier
doi:10.1215/00294527-2688060

Mathematical Reviews number (MathSciNet)
MR3263532

Zentralblatt MATH identifier
1337.03070

Subjects
Primary: 03E05: Other combinatorial set theory
Secondary: 03E55: Large cardinals

#### Citation

Garti, Shimon. Many Normal Measures. Notre Dame J. Formal Logic 55 (2014), no. 3, 349--357. doi:10.1215/00294527-2688060. https://projecteuclid.org/euclid.ndjfl/1406034051

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