A crowded Q-point under CPAprismgame


A. Millán

8 pages; Topology Proc. , to appear.

In this note we prove that the versionCPAprismgame of the Covering Property Axiom, which holds in the iterated Sacks model, implies that there exists an \omega1-generated crowded ultrafilter on Q which is also a Q-point. Since no crowded ultrafilter can be a P-point this constitutes an interesting example of a Q-point which is not a P-point.

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Last modified April 1, 2005.