The ultrafilter and almost disjointness numbers

The ultrafilter and almost disjointness numbers

We prove that every MAD family can be destroyed by a proper forcing that preserves P-points. With this result, we prove that it is consistent that ω1=u

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Advances in mathematics (New York. 1965) 2021-08, Vol.386, p.107805, Article 107805
Hauptverfasser: Guzmán, Osvaldo, Kalajdzievski, Damjan
Format: Artikel
Sprache:eng
Schlagworte:
Almost disjointness number
MAD families
P-points ultrafilter number
Ultrafilters
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We prove that every MAD family can be destroyed by a proper forcing that preserves P-points. With this result, we prove that it is consistent that ω1=u
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2021.107805