Abstract
To give a geometric interpretation to the inverted incidence relation between the flats of a geometry has for years been a tempting idea in combinatorial geometries [1]. If G is a geometric lattice, the inverted lattice G' is not necessarily geometric.
Publisher
Canadian Mathematical Society
Cited by
20 articles.
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1. Adjoints of matroids;Advances in Applied Mathematics;2024-05
2. Combinatorial Derived Matroids;The Electronic Journal of Combinatorics;2023-04-07
3. A Lattice-theoretical Characterization of Oriented Matroids;European Journal of Combinatorics;1997-07
4. A Pseudoconfiguration of Points without Adjoint;Journal of Combinatorial Theory, Series B;1996-11
5. Adjoints and Duals of Matroids Linearly Representable over a Skewfield.;MATHEMATICA SCANDINAVICA;1996-06-01