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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References found in this work

Mad families, splitting families and large continuum.Jörg Brendle & Vera Fischer - 2011 - Journal of Symbolic Logic 76 (1):198-208.
Matrix iterations and Cichon’s diagram.Diego Alejandro Mejía - 2013 - Archive for Mathematical Logic 52 (3-4):261-278.
Iterations of Boolean algebras with measure.Anastasis Kamburelis - 1989 - Archive for Mathematical Logic 29 (1):21-28.
Decisive creatures and large continuum.Jakob Kellner & Saharon Shelah - 2009 - Journal of Symbolic Logic 74 (1):73-104.

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