Journal of Symbolic Logic

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

Heike Mildenberger

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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

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1183745523

Mathematical Reviews number (MathSciNet)
MR1625907

Zentralblatt MATH identifier
0909.03043

JSTOR
links.jstor.org

Citation

Mildenberger, Heike. Changing Cardinal Invariants of the Reals without Changing Cardinals or the Reals. J. Symbolic Logic 63 (1998), no. 2, 593--599. https://projecteuclid.org/euclid.jsl/1183745523


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