Non-representability of finite projective planes by convex sets

DOI10.1090/S0002-9939-10-10463-8zbMath1214.51003arXiv0908.4038WikidataQ105336439 ScholiaQ105336439MaRDI QIDQ4929997

Martin Tancer

Publication date: 27 September 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.4038

zbMATH Keywords

representabilityconvex setsfinite projective plane

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of finite geometries (05B25) Helly-type theorems and geometric transversal theory (52A35) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Combinatorial aspects of simplicial complexes (05E45)

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Pach's selection theorem does not admit a topological extension

Cites Work

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