Geodesic
Adjoints of a Geometry
Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 363-365

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Cheung, Alan L. C. Adjoints of a Geometry. Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 363-365. doi: 10.4153/CMB-1974-066-5
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[1] 1. Crapo, H. H., Orthogonal Representations of Combinatorial Geometries in Atti del Convegno di Geometria Combinatoria e sue Applicazione, (Perugia, 11-17 Settembre 1970). Google Scholar

[2] 2. Crapo, H. H. and Rota, G.-C., On the Foundation of Combinatorial Theory: Combinatorial Geometries (M.I.T. Press, Cambridge, Mass., 1970). Google Scholar

[3] 3. Higgs, D. A., A lattice order for the set of all matroids on a set , Canadian Math. Bull., V.9. p. 684-685, (1966). Google Scholar

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