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Mad families, splitting families and large continuum

  • Jörg Brendle (a1) and Vera Fischer (a2)

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 . If μ is a measurable cardinal and μ < κ < λ, then using similar techniques we obtain the consistency of .

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[2]Blass, A., Combinatorial cardinal characteristics of the continuum, Handbook of set theory (Foreman, Matthew and Kanamori, Akihiro, editors), vol. 1, Springer, 2010, pp. 395490.
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[5]Brendle, J., Mad families and ultrafilters, Acta Universitatis Carottnae. Mathematica et Physica, vol. 49 (2007), pp. 1935.
[6]Fischer, V., The consistency of arbitrarily large spread between the bounding and the splitting numbers, doctoral dissertation, York University, 2008.
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Mad families, splitting families and large continuum

  • Jörg Brendle (a1) and Vera Fischer (a2)

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