Boolean Ultrapowers, the Bukovský-dehornoy Phenomenon, and Iterated Ultrapowers

Abstract

We show that while the length ω iterated ultrapower by a normal ultrafilter is a Boolean ultrapower by the Boolean algebra of Př́ıkrý forcing, it is consistent that no iteration of length greater than ω (of the same ultrafilter and its images) is a Boolean ultrapower. For longer iterations, where different ultrafilters are used, this is possible, though… (More)

Topics

Cite this paper

@inproceedings{Fuchs2017BooleanUT, title={Boolean Ultrapowers, the Bukovský-dehornoy Phenomenon, and Iterated Ultrapowers}, author={Gunter Fuchs}, year={2017} }