Mad families, splitting families and large continuum

Journal of Symbolic Logic 76 (1):198-208 (2011)
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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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References found in this work

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

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