A few special ordinal ultrafilters

Journal of Symbolic Logic 61 (3):920-927 (1996)
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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 ordering

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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.
Cascades, order, and ultrafilters.Andrzej Starosolski - 2014 - Annals of Pure and Applied Logic 165 (10):1626-1638.

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References found in this work

[Omnibus Review].Kenneth Kunen - 1969 - Journal of Symbolic Logic 34 (3):515-516.
Ultrafilters on a countable set.David Booth - 1970 - Annals of Mathematical Logic 2 (1):1.
Forcing with filters and complete combinatorics.Claude Laflamme - 1989 - Annals of Pure and Applied Logic 42 (2):125-163.

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