## Notre Dame Journal of Formal Logic

- Notre Dame J. Formal Logic
- Volume 46, Number 3 (2005), 375-379.

### Some Open Problems in Mutual Stationarity Involving Inner Model Theory: A Commentary

#### Abstract

We discuss some of the relationships between the notion of "mutual stationarity" of Foreman and Magidor and measurability in inner models. The general thrust of these is that very general mutual stationarity properties on small cardinals, such as the ℵ*n*s, is a large cardinal property. A number of open problems, theorems, and conjectures are stated.

#### Article information

**Source**

Notre Dame J. Formal Logic Volume 46, Number 3 (2005), 375-379.

**Dates**

First available in Project Euclid: 30 August 2005

**Permanent link to this document**

http://projecteuclid.org/euclid.ndjfl/1125409336

**Digital Object Identifier**

doi:10.1305/ndjfl/1125409336

**Mathematical Reviews number (MathSciNet)**

MR2162108

**Zentralblatt MATH identifier**

1095.03052

**Subjects**

Primary: 03E55: Large cardinals 03E45: Inner models, including constructibility, ordinal definability, and core models 03E10: Ordinal and cardinal numbers 03E04: Ordered sets and their cofinalities; pcf theory

**Keywords**

large cardinals constructibility cofinality mutual stationarity measurable cardinals

#### Citation

Welch, P. D. Some Open Problems in Mutual Stationarity Involving Inner Model Theory: A Commentary. Notre Dame J. Formal Logic 46 (2005), no. 3, 375--379. doi:10.1305/ndjfl/1125409336. http://projecteuclid.org/euclid.ndjfl/1125409336.