## Journal of Symbolic Logic

### Changing Cardinal Invariants of the Reals without Changing Cardinals or the Reals

Heike Mildenberger

#### Abstract

We show: The procedure mentioned in the title is often impossible. It requires at least an inner model with a measurable cardinal. The consistency strength of changing $\mathfrak{b}$ and $\mathfrak{d}$ from a regular $\kappa$ to some regular $\delta$ < $\kappa$ is a measurable of Mitchell order $\delta$. There is an application to Cichon's diagram.

#### Article information

Source
J. Symbolic Logic, Volume 63, Issue 2 (1998), 593-599.

Dates
First available in Project Euclid: 6 July 2007

https://projecteuclid.org/euclid.jsl/1183745523

Mathematical Reviews number (MathSciNet)
MR1625907

Zentralblatt MATH identifier
0909.03043

JSTOR