SLOW P-POINT ULTRAFILTERS

We answer a question of Blass, Di Nasso, and Forti [2, 7] by proving, assuming Continuum Hypothesis or Martin's Axiom, that (1) there exists a P-point which is not interval-to-one and (2) there exists an interval-to-one P-point which is neither quasi-selective nor weakly Ramsey.

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Bibliographische Detailangaben
Veröffentlicht in:	The Journal of symbolic logic 2020-03, Vol.85 (1), p.26-36, Article 0022481219000793
1. Verfasser:	Jin, Renling
Format:	Artikel
Sprache:	eng
Schlagworte:	Hypotheses Logic Mathematics Physical Sciences Science & Technology Science & Technology - Other Topics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We answer a question of Blass, Di Nasso, and Forti [2, 7] by proving, assuming Continuum Hypothesis or Martin's Axiom, that (1) there exists a P-point which is not interval-to-one and (2) there exists an interval-to-one P-point which is neither quasi-selective nor weakly Ramsey.
ISSN:	0022-4812 1943-5886
DOI:	10.1017/jsl.2019.79