The Near Coherence of Filters Principle does not imply the Filter Dichotomy Principle
by Mildenberger and Shelah. [MdSh:894]
Transactions American Math Soc, 2009
We show that there is a forcing extension in which
any two ultrafilters on omega are nearly coherent and there is
a non-meagre filter that is not nearly ultra.
This answers Blass' longstanding question (cite)
whether the principle of near coherence of filters is
strictly weaker than the filter dichotomy principle.
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