Affiliation:
1. Department of Mathematics, National University of Singapore, Singapore 119076, Singapore
Abstract
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.
Publisher
World Scientific Pub Co Pte Lt
Cited by
6 articles.
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