On existence of some hyplanes of order (n,m)
Saxena, Subhash C. (1975)
Portugaliae mathematica
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Saxena, Subhash C. (1975)
Portugaliae mathematica
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Ivan Korec (1974)
Fundamenta Mathematicae
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Paul Erdös, Steve Jackson, R. Mauldin (1997)
Fundamenta Mathematicae
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Given a partition P:L → ω of the lines in , n ≥ 2, into countably many pieces, we ask if it is possible to find a partition of the points, , so that each line meets at most m points of its color. Assuming Martin’s Axiom, we show this is the case for m ≥ 3. We reduce the problem for m = 2 to a purely finitary geometry problem. Although we have established a very similar, but somewhat simpler, version of the geometry conjecture, we leave the general problem open. We consider also various...
Libor Veselý (2008)
Acta Universitatis Carolinae. Mathematica et Physica
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Adrijan Varbanov Borisov (1983)
Archivum Mathematicum
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Fabio Bardelli, Luisella Verdi (1988)
Compositio Mathematica
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