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

Publisher： Cambridge University Press

E-ISSN： 1943-5886|72|4|1228-1238

ISSN： 0022-4812

Source： The Journal of Symbolic Logic, Vol.72, Iss.4, 2007-12, pp. : 1228-1238

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Abstract

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 By an unpublished result of Canjar, there are at least two classes in these models.

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