The near Coherence of Filters Principle Does Not Imply the Filter Dichotomy Principle
نویسنده
چکیده
We show that there is a forcing extension in which any two ultrafilters on ω are nearly coherent and there is a non-meagre filter that is not nearly ultra. This answers Blass’ longstanding question (1989) of whether the principle of near coherence of filters is strictly weaker than the filter dichotomy
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