Journal of Symbolic Logic

There may be infinitely many near-coherence classes under 𝔲 < 𝔡

Heike Mildenberger

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We show that in the models of 𝔲 < 𝔡 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 By an unpublished result of Canjar, there are at least two classes in these models.

Article information

J. Symbolic Logic, Volume 72, Issue 4 (2007), 1228-1238.

First available in Project Euclid: 18 February 2008

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Zentralblatt MATH identifier

Primary: 03E15: Descriptive set theory [See also 28A05, 54H05] 03E17: Cardinal characteristics of the continuum 03E35: Consistency and independence results 03D65: Higher-type and set recursion theory


Mildenberger, Heike. There may be infinitely many near-coherence classes under 𝔲 &lt; 𝔡. J. Symbolic Logic 72 (2007), no. 4, 1228--1238. doi:10.2178/jsl/1203350784.

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