There may be no Hausdorff ultrafilters

Mathematics – Logic

Scientific paper

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Scientific paper

An ultrafilter U is Hausdorff if for any two functions f,g mapping N to N,
f(U)=g(U) iff f(n)=g(n) for n in some X in U. We will show that it is
consistent that there are no Hausdorff ultrafilters.

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