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Ultrafilters on ω
Journal of Symbolic Logic 60 (2):624-639 (1995)
Abstract
We study the I-ultrafilters on ω, where I is a collection of subsets of a set X, usually R or ω 1. The I-ultrafilters usually contain the P-points, often as a small proper subset. We study relations between I-ultrafilters for various I, and closure of I-ultrafilters under ultrafilter sums. We consider, but do not settle, the question whether I-ultrafilters always exist.Other Versions
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Citations of this work
Katětov order on Borel ideals.Michael Hrušák - 2017 - Archive for Mathematical Logic 56 (7-8):831-847.
A Unified Approach to Hindman, Ramsey and Van der Waerden Spaces.Rafał Filipów, Krzysztof Kowitz & Adam Kwela - forthcoming - Journal of Symbolic Logic:1-48.
Katětov order between Hindman, Ramsey and summable ideals.Rafał Filipów, Krzysztof Kowitz & Adam Kwela - 2024 - Archive for Mathematical Logic 63 (7):859-876.
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-Ultrafilters in the Rational Perfect Set Model.Jonathan Cancino-manríquez - 2024 - Journal of Symbolic Logic 89 (1):175-194.
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