JSTOR: PAMS: Vol. 78, No. 1, pp. 103-106

There are no $Q$-Points in Laver's Model for the Borel Conjecture

Arnold W. Miller

Proceedings of the American Mathematical Society, Vol. 78, No. 1. (Jan., 1980), pp. 103-106.

It is shown that it is consistent with ZFC that no nonprincipal ultrafilter on $\omega$ is a $Q$-point (also called a rare ultrafilter).

Keywords: 02K05