A finite partition theorem with double exponential bound

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Abstract

We prove that double exponentiation is an upper bound to Ramsey’s theorem for colouring of pairs when we want to predetermine the order of the differences of successive members of the homogeneous set.

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Shelah, S. (2013). A finite partition theorem with double exponential bound. In The Mathematics of Paul Erdos II, Second Edition (pp. 237–244). Springer New York. https://doi.org/10.1007/978-1-4614-7254-4_18

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