Halfway new cardinal characteristics

Jörg Brendle, Lorenz J. Halbeisen, Lukas Daniel Klausner*, Marc Lischka, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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 [Formula presented], as well as several results about possible values of [Formula presented].

Original languageEnglish
Article number103303
JournalAnnals of Pure and Applied Logic
Volume174
Issue number9
DOIs
StatePublished - 1 Oct 2023

Bibliographical note

Publisher Copyright:
© 2023 Elsevier B.V.

Keywords

  • Cardinal characteristics of the continuum
  • Independence number
  • Reaping number
  • Splitting number

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