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Symmetric monochromatic subsets in colorings of the Lobachevsky plane

Abstract : 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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Taras Banakh, Artem Dudko, Dusan Repovs. Symmetric monochromatic subsets in colorings of the Lobachevsky plane. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2010, Vol. 12 no. 1 (1), pp.12-20. ⟨10.46298/dmtcs.524⟩. ⟨hal-00990434⟩

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