Orderings of ultrafilters on Boolean algebras
نویسندگان
چکیده
We study two generalizations of the Rudin-Keisler ordering to ultrafilters on complete Boolean algebras. To highlight difference between them, we develop new techniques construct incomparable in this setting. Furthermore, discuss relation with Tukey reducibility and prove that, assuming Continuum Hypothesis, there exist Cohen algebra which are RK-equivalent generalized sense but Tukey-incomparable, stark contrast classical
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2023
ISSN: ['1879-3207', '0166-8641']
DOI: https://doi.org/10.1016/j.topol.2022.108279