On changing cofinality of partially ordered sets

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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.

Original languageEnglish
Pages (from-to)641-660
Number of pages20
JournalJournal of Symbolic Logic
Issue number2
StatePublished - Jun 2010


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