There may be infinitely many near-coherence classes under u

We show that in the models of u &lt ∂ from [14] there are infinitely many near-coherence classes of ultrafilters, thus answering Banakh's and Blass' Question 30 of [3] negatively. By an unpublished result of Canjar, there are at least two classes in these models.

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Bibliographic Details
Published in:The Journal of symbolic logic 2007-12, Vol.72 (4), p.1228-1238
Main Author: Mildenberger, Heike
Format: Article
Language:English
Subjects:
Cofinality
Equivalence relation
Formal logic
Infinite sets
Mathematical functions
Mathematical intervals
Mathematical logic
Mathematical set theory
Mathematics
Ultrafilters
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Summary:We show that in the models of u &lt ∂ from [14] there are infinitely many near-coherence classes of ultrafilters, thus answering Banakh's and Blass' Question 30 of [3] negatively. By an unpublished result of Canjar, there are at least two classes in these models.
ISSN:0022-4812
1943-5886
DOI:10.2178/jsl/1203350784