Abstract:M. E. Rudin (1971) proved, under CH, that for each P-point p there exists a P-point q strictly RK-greater than p. This result was proved under
${\mathfrak {p}= \mathfrak {c}}$
by A. Blass (1973), who also showed that each RK-increasing
$ \omega $
-sequence of P-points is upper bounded by a P-point, and that there is an order embedding of the real line into the class of P-points with respect to the RK-ordering. In this paper, the results cited above are proved under the (weaker) assumption that
$\mathfrak {… Show more
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