Weak reflection principle, saturation of the nonstationary ideal on Ω 1 and diamonds

Journal of Symbolic Logic 82 (2):724-736 (2017)
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Abstract

We prove that WRP and saturation of the ideal NSω1together imply$\left\{ {a \in [\lambda ]^{\omega _1 } :{\text{cof}}\left( {{\text{sup}}\left( a \right)} \right) = \omega _1 } \right\}$, for every cardinalλwith cof(λ)≥ω2.

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Set Theory.Thomas Jech - 1999 - Studia Logica 63 (2):300-300.
Game ideals.Pierre Matet - 2009 - Annals of Pure and Applied Logic 158 (1-2):23-39.

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