Life in the Sacks model
Michael Hrušák (2001)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Sacks reals and Martin's axiom”
Life in the Sacks model
Proper forcings and absoluteness in
Itay Neeman, Jindřich Zapletal (1998)
Commentationes Mathematicae Universitatis Carolinae
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We show that in the presence of large cardinals proper forcings do not change the theory of with real and ordinal parameters and do not code any set of ordinals into the reals unless that set has already been so coded in the ground model.
Adding a random or a Cohen real: topological consequences and the effect on Martin's axiom
J. Roitman (1979)
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Between Martin's Axiom and Souslin's Hypothesis
Kenneth Kunen, Franklin Tall (1979)
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A characterization of lifting generics for Sacks-like forcings
Radek Honzík (2010)
Acta Universitatis Carolinae. Mathematica et Physica
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