Mathematics – Logic
Scientific paper
2010-04-12
Mathematics
Logic
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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