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Mad families, splitting families and large continuum

Published online by Cambridge University Press:  12 March 2014

Jörg Brendle  and
Vera Fischer
Jörg Brendle
Affiliation:
Graduate School of System Informatics, Kobe University, Rokko-Dai 1-1, Nada-Ku, Kobe 657-8501, Japan, E-mail: brendle@kurt.scitec.kobe-u.ac.jp
Vera Fischer
Affiliation:
Kurt Gödel Research Center, University of Vienna, Währinger Strasse 25, 1090 Vienna, Austria, E-mail: vfischer@logic.univie.ac.at
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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 . If μ is a measurable cardinal and μ < κ < λ, then using similar techniques we obtain the consistency of .

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 76 , Issue 1 , March 2011 , pp. 198 - 208
Copyright
Copyright © Association for Symbolic Logic 2011

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References

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