Preservation of splitting families and cardinal characteristics of the continuum

Martin Goldstern; Jakob Kellner; Diego A. Mejía; Saharon Shelah

doi:10.1007/s11856-021-2237-7

Preservation of splitting families and cardinal characteristics of the continuum

Martin Goldstern
, Jakob Kellner^*
, Diego A. Mejía
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	73-129
Number of pages	57
Journal	Israel Journal of Mathematics
Volume	246
Issue number	1
DOIs	https://doi.org/10.1007/s11856-021-2237-7
State	Published - Dec 2021

Bibliographical note

Publisher Copyright:
© 2018, The Authors.

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10.1007/s11856-021-2237-7

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Preservation of splitting families and cardinal characteristics of the continuum

Abstract

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