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ℵω may have a strong partition relation

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Abstract

We prove the consistency, with ZFC+G.C.H., of a strong partition relation of ℵω assuming the consistency of the existence of infinitely many compact cardinals.

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Authors and Affiliations

  1. Department of Mathematics, Wesleyan University, 06457, Middletown, CT, USA

    Saharon Shelah

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  1. Saharon Shelah
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The author would like to thank the United States-Israel Binational Science Foundation for supporting this research by Grant No. 1110.

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Shelah, S. ℵω may have a strong partition relation. Israel J. Math. 38, 283–288 (1981). https://doi.org/10.1007/BF02762774

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  • DOI: https://doi.org/10.1007/BF02762774

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