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The weak □* is really weaker than the full □

Published online by Cambridge University Press:  12 March 2014

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

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.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1986

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References

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