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The weak □* is really weaker than the full □

Published online by Cambridge University Press:  12 March 2014

Shai Ben-David and
Menachem Magidor
Shai Ben-David
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario M5S 1A4, Canada
Menachem Magidor
Affiliation:
Department of Mathematics, The Hebrew University, Jerusalem, Israel
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Abstract

We show that relative to the consistency of a supercompact cardinal does not imply . The model-theoretic transfer property ⟨ℵ1, ℵ0⟩ → ⟨ℵω + 1, ℵω⟩ does not imply , and it is consistent to have an ultrafilter on ℵω + 1 which is λ-indecomposible for all ω < λ < ℵω.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 51 , Issue 4 , December 1986, pp. 1029 - 1033
Copyright
Copyright © Association for Symbolic Logic 1986

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References

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