Canonical partition theorems for parameter sets |
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Authors: | HJ Prömel B Voigt |
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Institution: | Universität Bielefeld, Fakultät für Mathematik, 4800 Bielefeld 1, West Germany |
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Abstract: | A canonical (i.e., unrestricted) version of the partition theorem for k-parameter sets of Graham and Rothschild (Trans. Amer. Math. Soc.159 (1971), 257–291) is proven. Some applications, e.g., canonical versions, of the Rado-Folkman-Sanders theorem and of the partition theorem for finite Boolean algebras are given. Also the Erdös-Rado canonization theorem (J. London Math. Soc.25 (1950), 249–255) turns out to be an immediate corollary. |
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