Finite convex geometries of circles

DOI10.1016/j.disc.2014.04.017zbMath1295.52004arXiv1212.3456OpenAlexW2046751904MaRDI QIDQ2017059

Gábor Czédli

Publication date: 25 June 2014

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3456

zbMATH Keywords

planar latticeanti-exchange propertyconvex geometrylower semimodular latticegeometry of circles

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (13)

Diagrams and rectangular extensions of planar semimodular lattices ⋮ Quasiplanar diagrams and slim semimodular lattices ⋮ A convex combinatorial property of compact sets in the plane and its roots in lattice theory ⋮ CD-independent subsets in meet-distributive lattices. ⋮ CONDITIONAL LOGIC IS COMPLETE FOR CONVEXITY IN THE PLANE ⋮ Absolute retracts for finite distributive lattices and slim semimodular lattices ⋮ On slim rectangular lattices ⋮ Representation of convex geometries by circles on the plane ⋮ Patch extensions and trajectory colorings of slim rectangular lattices. ⋮ A new property of congruence lattices of slim, planar, semimodular lattices ⋮ Embedding convex geometries and a bound on convex dimension ⋮ On the number of atoms in three-generated lattices ⋮ Description of closure operators in convex geometries of segments on the line

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