Archive for Mathematical Logic 52 (3-4):261-278 (2013)

Abstract
Using matrix iterations of ccc posets, we prove the consistency with ZFC of some cases where the cardinals on the right hand side of Cichon’s diagram take two or three arbitrary values (two regular values, the third one with uncountable cofinality). Also, mixing this with the techniques in J Symb Log 56(3):795–810, 1991, we can prove that it is consistent with ZFC to assign, at the same time, several arbitrary regular values on the left hand side of Cichon’s diagram
Keywords Cardinal invariants  Cichon’s diagram  Matrix iterations
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DOI 10.1007/s00153-012-0315-6
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References found in this work BETA

Mad Families, Splitting Families and Large Continuum.Jörg Brendle & Vera Fischer - 2011 - Journal of Symbolic Logic 76 (1):198 - 208.
Iterations of Boolean Algebras with Measure.Anastasis Kamburelis - 1989 - Archive for Mathematical Logic 29 (1):21-28.
Larger Cardinals in Cichon's Diagram.Jorg Brendle - 1991 - Journal of Symbolic Logic 56 (3):795.

View all 7 references / Add more references

Citations of this work BETA

Template Iterations with Non-Definable Ccc Forcing Notions.Diego A. Mejía - 2015 - Annals of Pure and Applied Logic 166 (11):1071-1109.

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