The relation of rapid ultrafilters and Q-points to van der Waerden ideal

Mathematics – Logic

Scientific paper

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Scientific paper

We point out one of the differences between rapid ultrafilters and Q-points:
Rapid ultrafilters may have empty intersection with van der Waerden ideal,
whereas every Q-point has a non-empty intersection with van der Waerden ideal.
Assuming Martin's axiom for countable posets we also construct a W-ultrafilter
which is not a Q-point.

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