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 ORCID-iD1; Artem Dudko ORCID-iD2; Dusan Repovs 3,4

  • 1 Department of Mathematics [Lviv]
  • 2 University of Toronto
  • 3 Faculty of Mathematics and Physics [Ljubljana]
  • 4 Faculty of Education [Ljubljana]

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: 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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Source : ScholeXplorer IsRelatedTo DOI 10.37236/1530
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