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The Magidor function and diamond

Published online by Cambridge University Press:  12 March 2014

Pierre Matet*
Affiliation:
Université de Caen- CNRS, Laboratoire de Mathematiques, BP 5186, 14032 Caen Cedex, France, E-mail: [email protected]

Abstract

Let κ be a regular uncountable cardinal and λ be a cardinal greater than κ. We show that if 2<κM(κ, λ), then ◇κ,λ holds, where M(κ, λ) equals λ0 if cf(λ) ≥ κ, and (λ+)0 otherwise.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2011

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References

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