Creature forcing and five cardinal characteristics in Cichoń’s diagram

Archive for Mathematical Logic 56 (7-8):1045-1103 (2017)
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Abstract

We use a creature construction to show that consistently $$\begin{aligned} \mathfrak d=\aleph _1= {{\mathrm{cov}}}< {{\mathrm{non}}}< {{\mathrm{non}}}< {{\mathrm{cof}}} < 2^{\aleph _0}. \end{aligned}$$The same method shows the consistency of $$\begin{aligned} \mathfrak d=\aleph _1= {{\mathrm{cov}}}< {{\mathrm{non}}}< {{\mathrm{non}}}< {{\mathrm{cof}}} < 2^{\aleph _0}. \end{aligned}$$

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Citations of this work

On cardinal characteristics of Yorioka ideals.Miguel A. Cardona & Diego A. Mejía - 2019 - Mathematical Logic Quarterly 65 (2):170-199.
Cichoń’s diagram and localisation cardinals.Martin Goldstern & Lukas Daniel Klausner - 2020 - Archive for Mathematical Logic 60 (3):343-411.
N–localization property.Andrzej Rosłanowski - 2006 - Journal of Symbolic Logic 71 (3):881 - 902.

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