On the density of Hausdorff ultrafilters

by Bartoszynski and Shelah. [BrSh:826]
Logic Colloquium 2004, 2008
An ultrafilter U is Hausdorff if for any two functions f,g in omega^omega, f(U)=g(U) iff f restriction X=g restriction X for some X in U . We will show that the statement that Hausdorff ultrafilters are dense in the Rudin-Keisler order is independent of ZFC

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