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Why Solovay real produces Cohen real

Published online by Cambridge University Press:  12 March 2014

Janusz Pawlikowski
Janusz Pawlikowski*
Affiliation:
Mathematical Institute, University of Wrocław, Wrocław, Poland
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Abstract

An explanation is given of why, after adding to a model M of ZFC first a Solovay real r and next a Cohen real c, in M[r] [c] a Cohen real over M[c] is produced. It is also shown that a Solovay algebra iterated with a Cohen algebra can be embedded into a Cohen algebra iterated with a Solovay algebra.

Keywords

Cohen realSolovay realmeasurecategorycardinal indices
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 51 , Issue 4 , December 1986 , pp. 957 - 968
Copyright
Copyright © Association for Symbolic Logic 1986

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References

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