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Changing cardinal invariants of the reals without changing cardinals or the reals

Published online by Cambridge University Press:  12 March 2014

Heike Mildenberger
Heike Mildenberger*
Affiliation:
Mathematisches Institut der Universität Bonn, Beringstrasse 1, 53115 Bonn, Germany, E-mail: heike@math.uni-bonn.de
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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 and from a regular κ to some regular δ < κ is a measurable of Mitchell order δ. There is an application to Cichoń's diagram.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 63 , Issue 2 , June 1998 , pp. 593 - 599
Copyright
Copyright © Association for Symbolic Logic 1998

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