Canonical Partition Theorems for Parameter Sets

Abstract

A canonical (i.e., unrestricted) version of the partition theorem for k-parameter sets of Graham and Rothschild (Trans. Amer. Math. Sot. 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 ErdBs-Rado canonization theorem… (More)
DOI: 10.1016/0097-3165(83)90016-X

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Cite this paper

@article{Prmel1983CanonicalPT, title={Canonical Partition Theorems for Parameter Sets}, author={Hans J{\"u}rgen Pr{\"o}mel and Bernd Voigt}, journal={J. Comb. Theory, Ser. A}, year={1983}, volume={35}, pages={309-327} }