On changing cofinality of partially ordered sets

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

• Type: Journal
• Year: 2010
• Where: JSYML
• Authors: Moti Gitik
• Keywords: Cofinality, JSYML 2010, Measurable Cardinals, Poset