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Forcing with stable posets

Published online by Cambridge University Press:  12 March 2014

Uri Avraham  and
Saharon Shelah
Uri Avraham
Affiliation:
Hebrew University, Jerusalem, Israel
Saharon Shelah
Affiliation:
Hebrew University, Jerusalem, Israel
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Abstract

The class of stable posets is defined and investigated. We give a forcing construction of a universe of set theory which satisfies a weak form of Martin's Axiom and 2ℵ0 > ℵ1 and yet some propositions which follow from CH hold in this universe.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 47 , Issue 1 , March 1982 , pp. 37 - 42
Copyright
Copyright © Association for Symbolic Logic 1982

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References

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