The notion of a [Formula: see text]-generic sequence of P-points is introduced in this paper. It is proved assuming the Continuum Hypothesis (CH) 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.

中文翻译：

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一长串P点

本文介绍了[公式：见正文]-泛型 P 点序列的概念。假设连续统假设 (CH) 证明，对于每个 [公式：见文本]，任何 P 点的 [公式：见文本]-通用序列都可以扩展为 [公式：见文本]-通用序列。这表明 CH 意味着存在与 Rudin-Keisler 和 Tukey 可约性相关的长度为 [公式：见正文] 的 P 点链。这些结果回答了 Andreas Blass 的一个老问题。