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arxiv: math/0311064 · v1 · submitted 2003-11-05 · 🧮 math.LO

There may be no Hausdorff ultrafilters

classification 🧮 math.LO
keywords hausdorffthereultrafiltersconsistentfunctionsmappingsomeultrafilter
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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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