A convex combinatorial property of compact sets in the plane and its roots in lattice theory
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Publication:5238127
zbMath1428.52002arXiv1807.03443MaRDI QIDQ5238127
Publication date: 28 October 2019
Full work available at URL: https://arxiv.org/abs/1807.03443
convex hullcombinatorial geometrycompact setcongruence latticeanti-exchange propertyabstract convex geometrylinebreak circleplanar semimodular lattice
Axiomatic and generalized convexity (52A01) Semimodular lattices, geometric lattices (06C10) Convex sets in (2) dimensions (including convex curves) (52A10) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)
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A property of meets in slim semimodular lattices and its application to retracts ⋮ Notes on join semidistributive lattices ⋮ Cyclic congruences of slim semimodular lattices and non-finite axiomatizability of some finite structures ⋮ Absolute retracts for finite distributive lattices and slim semimodular lattices ⋮ A new property of congruence lattices of slim, planar, semimodular lattices
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