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The Magidor function and diamond

Published online by Cambridge University Press:  12 March 2014

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

Let κ be a regular uncountable cardinal and λ be a cardinal greater than κ. We show that if 2<κ ≤ M(κ, λ), then ◇κ,λ holds, where M(κ, λ) equals λℵ0 if cf(λ) ≥ κ, and (λ+)ℵ0 otherwise.

Keywords

Pκ(λ)diamond principle
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 76 , Issue 2 , June 2011 , pp. 405 - 417
Copyright
Copyright © Association for Symbolic Logic 2011

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