Journal of Symbolic Logic

On changing cofinality of partially ordered sets

Moti Gitik

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Abstract

It is shown that under GCH every poset preserves its cofinality in any cofinality preserving extension. On the other hand, starting with ω measurable cardinals, a model with a partial ordered set which can change its cofinality in a cofinality preserving extension is constructed.

Article information

Source
J. Symbolic Logic, Volume 75, Issue 2 (2010), 641-660.

Dates
First available in Project Euclid: 18 March 2010

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1268917497

Digital Object Identifier
doi:10.2178/jsl/1268917497

Mathematical Reviews number (MathSciNet)
MR2648158

Zentralblatt MATH identifier
1203.03061

Citation

Gitik, Moti. On changing cofinality of partially ordered sets. J. Symbolic Logic 75 (2010), no. 2, 641--660. doi:10.2178/jsl/1268917497. https://projecteuclid.org/euclid.jsl/1268917497


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