Journal of Mathematical Logic 18 (1):1850004 (2018)
AbstractThe notion of a [Formula: see text]-generic sequence of P-points is introduced in this paper. It is proved assuming the Continuum Hypothesis that for each [Formula: see text], any [Formula: see text]-generic sequence of P-points can be extended to an [Formula: see text]-generic sequence. This shows that the CH implies that there is a chain of P-points of length [Formula: see text] with respect to both Rudin–Keisler and Tukey reducibility. These results answer an old question of Andreas Blass.
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Citations of this work
The rudin–keisler ordering of p-points under ???? = ????Andrzej Starosolski - 2021 - Journal of Symbolic Logic 86 (4):1691-1705.
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