Abstract
We find upper and lower bounds for the Haar measure of a monochromatic symmetric subset, which can be found in every measurable r-coloring of a connected compact group.
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Banakh, T.O. Symmetric Subsets and Colorings of Connected Compact Groups. Ukrainian Mathematical Journal 53, 804–808 (2001). https://doi.org/10.1023/A:1012538618947
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DOI: https://doi.org/10.1023/A:1012538618947