
arXiv: 0804.1335
Combinatorics 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.
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm], Lobachevsky plane, poincare model, borel piece, QA1-939, FOS: Mathematics, Mathematics - Combinatorics, 54H09, monochromatic set, Borel piece, coloring, Mathematics - General Topology, central symmetry, 51M09, General Topology (math.GN), Borel k-partition, partition, lobachevsky plane, 05D10; 51M09; 54H09, [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], borel k-partition, Poincare model, Combinatorics (math.CO), Mathematics, 05D10, Partition
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm], Lobachevsky plane, poincare model, borel piece, QA1-939, FOS: Mathematics, Mathematics - Combinatorics, 54H09, monochromatic set, Borel piece, coloring, Mathematics - General Topology, central symmetry, 51M09, General Topology (math.GN), Borel k-partition, partition, lobachevsky plane, 05D10; 51M09; 54H09, [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], borel k-partition, Poincare model, Combinatorics (math.CO), Mathematics, 05D10, Partition
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