Abstract
We get a version of the colouring property Pr1 proving \(\Pr_1(\lambda,\lambda,\lambda,\partial)\) always when \(\lambda= \partial^+,\partial \) are regular cardinals and some stationary subset of \(\lambda\) consisting of ordinals of cofinality \(< \partial\) do not reflect in any ordinal \(< \lambda\).
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Research partially supported by the Israel Science Foundation (ISF) grant no. 1838/19.
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Shelah, S. Colouring of successor of regular, again. Acta Math. Hungar. 165, 192–202 (2021). https://doi.org/10.1007/s10474-021-01181-3
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DOI: https://doi.org/10.1007/s10474-021-01181-3