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June 2010 On changing cofinality of partially ordered sets
Moti Gitik
J. Symbolic Logic 75(2): 641-660 (June 2010). DOI: 10.2178/jsl/1268917497

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.

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Moti Gitik. "On changing cofinality of partially ordered sets." J. Symbolic Logic 75 (2) 641 - 660, June 2010. https://doi.org/10.2178/jsl/1268917497

Information

Published: June 2010
First available in Project Euclid: 18 March 2010

zbMATH: 1203.03061
MathSciNet: MR2648158
Digital Object Identifier: 10.2178/jsl/1268917497

Rights: Copyright © 2010 Association for Symbolic Logic

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Vol.75 • No. 2 • June 2010
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