Halfway new cardinal characteristics

Halfway new cardinal characteristics

Based on the well-known cardinal characteristics s, r and i, we introduce nine related cardinal characteristics by using the notion of asymptotic density to characterise different intersection properties of infinite sets. We prove several bounds and consistency results, e.g. the consistency of s

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Veröffentlicht in:Annals of pure and applied logic 2023-10, Vol.174 (9), p.103303, Article 103303
Hauptverfasser: Brendle, Jörg, Halbeisen, Lorenz J., Klausner, Lukas Daniel, Lischka, Marc, Shelah, Saharon
Format: Artikel
Sprache:eng
Schlagworte:
Cardinal characteristics of the continuum
Independence number
Reaping number
Splitting number
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Beschreibung
Zusammenfassung:Based on the well-known cardinal characteristics s, r and i, we introduce nine related cardinal characteristics by using the notion of asymptotic density to characterise different intersection properties of infinite sets. We prove several bounds and consistency results, e.g. the consistency of s
ISSN:0168-0072
DOI:10.1016/j.apal.2023.103303