On changing cofinality of partially ordered sets

Journal of Symbolic Logic 75 (2):641-660 (2010)
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Abstract

It is shown that under GCH every poset preserves its confinality 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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