Taras Banakh ; Artem Dudko ; Dusan Repovs - Symmetric monochromatic subsets in colorings of the Lobachevsky plane

dmtcs:524 - Discrete Mathematics & Theoretical Computer Science, January 1, 2010, Vol. 12 no. 1 - https://doi.org/10.46298/dmtcs.524
Symmetric monochromatic subsets in colorings of the Lobachevsky plane

Authors: Taras Banakh ; Artem Dudko ; Dusan Repovs

    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.

    https://doi.org/10.46298/dmtcs.524
    Source : oai:HAL:hal-00990434v1
    Volume: Vol. 12 no. 1
    Section: Combinatorics
    Published on: January 1, 2010
    Imported on: March 26, 2015
    Keywords: Partition,central symmetry,monochromatic set,Borel piece,Lobachevsky plane,Poincare model,Borel k-partition,coloring,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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