TY - JOUR
T1 - Halfway new cardinal characteristics
AU - Brendle, Jörg
AU - Halbeisen, Lorenz J.
AU - Klausner, Lukas Daniel
AU - Lischka, Marc
AU - Shelah, Saharon
N1 - Publisher Copyright:
© 2023 Elsevier B.V.
PY - 2023/10/1
Y1 - 2023/10/1
N2 - 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].
AB - 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].
KW - Cardinal characteristics of the continuum
KW - Independence number
KW - Reaping number
KW - Splitting number
UR - http://www.scopus.com/inward/record.url?scp=85159570286&partnerID=8YFLogxK
U2 - 10.1016/j.apal.2023.103303
DO - 10.1016/j.apal.2023.103303
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AN - SCOPUS:85159570286
SN - 0168-0072
VL - 174
JO - Annals of Pure and Applied Logic
JF - Annals of Pure and Applied Logic
IS - 9
M1 - 103303
ER -