Discrete Mathematics & Theoretical Computer Science, Vol 12, No 1 (2010)

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Symmetric monochromatic subsets in colorings of the Lobachevsky plane

Taras Banakh, Artem Dudko, Dušan Repovš


We prove that for each partition of the Lobachevsky plane into finitely many Borel pieces one of the cells of the partition contains an unbounded centrally symmetric subset.

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