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A proof of Shelah's partition theorem

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Abstract

A self contained proof of Shelah's theorem is presented: If μ is a strong limit singular cardinal of uncountable cofinality and 2μ > μ+ then\(\left( {\begin{array}{*{20}c} {\mu ^ + } \\ \mu \\ \end{array} } \right) \to \left( {\begin{array}{*{20}c} {\mu ^ + } \\ {\mu + 1} \\ \end{array} } \right)_{< cf\mu } \).

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Kojman, M. A proof of Shelah's partition theorem. Arch Math Logic 34, 263–268 (1995). https://doi.org/10.1007/BF01469383

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