TY - JOUR
T1 - Preservation of splitting families and cardinal characteristics of the continuum
AU - Goldstern, Martin
AU - Kellner, Jakob
AU - Mejía, Diego A.
AU - Shelah, Saharon
N1 - Publisher Copyright:
© 2018, The Authors.
PY - 2021/12
Y1 - 2021/12
N2 - We show how to construct, via forcing, splitting families that are preserved by a certain type of finite support iterations. As an application, we construct a model where 15 classical characteristics of the continuum are pairwise different, concretely: the 10 (non-dependent) entries in Cichoń’s diagram, m (2-Knaster), p, h, the splitting number s and the reaping number r.
AB - We show how to construct, via forcing, splitting families that are preserved by a certain type of finite support iterations. As an application, we construct a model where 15 classical characteristics of the continuum are pairwise different, concretely: the 10 (non-dependent) entries in Cichoń’s diagram, m (2-Knaster), p, h, the splitting number s and the reaping number r.
UR - http://www.scopus.com/inward/record.url?scp=85120639028&partnerID=8YFLogxK
U2 - 10.1007/s11856-021-2237-7
DO - 10.1007/s11856-021-2237-7
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AN - SCOPUS:85120639028
SN - 0021-2172
VL - 246
SP - 73
EP - 129
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -