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A few special ordinal ultrafilters
Journal of Symbolic Logic 61 (3):920-927 (1996)
Abstract
We prove various results on the notion of ordinal ultrafilters introduced by J. Baumgartner. In particular, we show that this notion of ultrafilter complexity is independent of the more familiar Rudin-Keisler orderingLinks
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2009-01-28
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Citations of this work
Continuous extension of maps between sequential cascades.Szymon Dolecki & Andrzej Starosolski - 2021 - Annals of Pure and Applied Logic 172 (4):102928.
How high can Baumgartner’s $${\mathcal{I}}$$ I -ultrafilters lie in the P-hierarchy?Michał Machura & Andrzej Starosolski - 2015 - Archive for Mathematical Logic 54 (5-6):555-569.
Cascades, order, and ultrafilters.Andrzej Starosolski - 2014 - Annals of Pure and Applied Logic 165 (10):1626-1638.
References found in this work
Set Theory. An Introduction to Independence Proofs.James E. Baumgartner & Kenneth Kunen - 1986 - Journal of Symbolic Logic 51 (2):462.
Forcing with filters and complete combinatorics.Claude Laflamme - 1989 - Annals of Pure and Applied Logic 42 (2):125-163.
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