Mad families, splitting families and large continuum

Journal of Symbolic Logic 76 (1):198 - 208 (2011)

Abstract
Let κ < λ be regular uncountable cardinals. Using a finite support iteration (in fact a matrix iteration) of ccc posets we obtain the consistency of b = a = κ < s = λ. If μ is a measurable cardinal and μ < κ < λ, then using similar techniques we obtain the consistency of b = κ < a = s = λ
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DOI 10.2178/jsl/1294170995
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References found in this work BETA

Mob Families and Mad Families.Jörg Brendle - 1998 - Archive for Mathematical Logic 37 (3):183-197.
Adjoining Dominating Functions.James E. Baumgartner & Peter Dordal - 1985 - Journal of Symbolic Logic 50 (1):94-101.

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Citations of this work BETA

Mathias–Prikry and Laver–Prikry Type Forcing.Michael Hrušák & Hiroaki Minami - 2014 - Annals of Pure and Applied Logic 165 (3):880-894.
Matrix Iterations and Cichon’s Diagram.Diego Alejandro Mejía - 2013 - Archive for Mathematical Logic 52 (3-4):261-278.
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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