Journal of Symbolic Logic

On Closed Unbounded Sets Consisting of Former Regulars

Moti Gitik

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Abstract

A method of iteration of Prikry type forcing notions as well as a forcing for adding clubs is presented. It is applied to construct a model with a measurable cardinal containing a club of former regulars, starting with $o(\kappa) = \kappa + 1$. On the other hand, it is shown that the strength of above is at least $o(\kappa) = \kappa$.

Article information

Source
J. Symbolic Logic, Volume 64, Issue 1 (1999), 1-12.

Dates
First available in Project Euclid: 6 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1183745687

Mathematical Reviews number (MathSciNet)
MR1683890

Zentralblatt MATH identifier
0926.03068

JSTOR
links.jstor.org

Citation

Gitik, Moti. On Closed Unbounded Sets Consisting of Former Regulars. J. Symbolic Logic 64 (1999), no. 1, 1--12. https://projecteuclid.org/euclid.jsl/1183745687


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