Rapid interval P-points

Rapid interval P-points

In this paper a rapid non-interval P-point and a rapid non-weakly Ramsey interval P-point are constructed assuming Continuum Hypothesis or Martin's Axiom. These constructions, with the help of geometric interpretations for some needed configurations, provide the examples of rapid ultrafilters f...

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Veröffentlicht in:Topology and its applications 2020-09, Vol.283, p.107333, Article 107333
Hauptverfasser: He, Jialiang, Jin, Renling, Zhang, Shuguo
Format: Artikel
Sprache:eng
Schlagworte:
Interval P-point
Mathematics
Mathematics, Applied
P-point
Physical Sciences
Quasi-selective ultrafilter
Rapid ultrafilter
Science & Technology
Selective ultrafilter
Weakly Ramsey ultrafilter
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Zusammenfassung:In this paper a rapid non-interval P-point and a rapid non-weakly Ramsey interval P-point are constructed assuming Continuum Hypothesis or Martin's Axiom. These constructions, with the help of geometric interpretations for some needed configurations, provide the examples of rapid ultrafilters for an affirmative answer to a question of Blass, Di Nasso, and Forti.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2020.107333