There may be no nowhere dense ultrafilter

Details There may be no nowhere dense ultrafilter There may be no nowhere dense ultrafilter

1996-11-15

arxiv.org/abs/math/9611221v1

Lecture Notes Logic 11 (1998), 305--324

Mathematics

Logic

Scientific paper

We show the consistency of ZFC +''there is no NWD-ultrafilter on omega'', which means: for every non principle ultrafilter D on the set of natural numbers, there is a function f from the set of natural numbers to the reals, such that for some nowhere dense set A of reals, the set {n: f(n) in A} is not in D. This answers a question of van Douwen, which was put in more general context by Baumgartner

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