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Pairwise Sums in the Reals

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Mathematical, Foundational and Computational Aspects of the Higher Infinite

Co-authors: Neil Hindman (Howard University), Dona Strauss (University of Leeds)

We show (assuming CH) that there is a finite colouring of the reals such that no infinite set X has X+X (meaning the pairwise sums from X, allowing repetition) monochromatic. And we give positive results for nice colourings.

This talk is part of the Isaac Newton Institute Seminar Series series.

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