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RAMSEY’S COHEIRS
Published online by Cambridge University Press: 15 February 2021
Abstract
We use the model theoretic notion of coheir to give short proofs of old and new theorems in Ramsey Theory. As an illustration we start from Ramsey’s theorem itself. Then we prove Hindman’s theorem and the Hales–Jewett theorem. Finally, we prove two Ramsey theoretic principles that have among their consequences partition theorems due to Carlson and to Gowers.
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- © The Author(s), 2021. Published by Cambridge University Press on behalf of The Association for Symbolic Logic
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