Mad families, splitting families and large continuum

Let κ < λ be regular uncountable cardinals. Using a finite support 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.

• Type: Journal
• Year: 2011
• Where: JSYML
• Authors: Jörg Brendle, Vera Fischer
• Keywords: Consistency, JSYML 2011, Regular Uncountable Cardinals, finite Support Iteration