Geodesic
Independence in Combinatorial Geometries of Rank Three
Canadian mathematical bulletin, Tome 18 (1975) no. 2, pp. 217-221

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

The class of all combinatorial geometries of rank three shall coincide with the class of all pairs (V, S) such that V is a set and S is a collection of non-empty subsets of V such that each pair of distinct elements of V belong to exactly one member of S. (See [3].)Consider a combinatorial geometry (V, S) of rank three. 
Jr., Japheth Hall. Independence in Combinatorial Geometries of Rank Three. Canadian mathematical bulletin, Tome 18 (1975) no. 2, pp. 217-221. doi: 10.4153/CMB-1975-042-9
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[1] 1. Bleicher, M. N. and Marczewski, E., Remarks on dependence relations and closure operators, Colloquium Mathematicum IX (1962), 209-211. Google Scholar

[2] 2. Bleicher, M. N. and Preston, B. B., Abstract linear dependence relations, Publ. Math. Debrecen 8 (1961), 55-63. Google Scholar

[3] 3. Crapo-Rota, Combinatorial Geometries, MIT Press, 1970. Google Scholar

[4] 4. Hall, J. Jr., A condition for equality of cardinals of minimal generators under closure operators, Canad. Math. Bull. 14 (4), 1971. Google Scholar

[5] 5. Hall, J. Jr., The independence of certain axions of structures in sets, Proceedings of the Amer. Math. Soc. 31 (2) (1972), 317-325. Google Scholar

[6] 6. Hall, J. Jr., On the Theory of Structures in Sets, Dissertation Abstracts International XXXI (10), 1971. Google Scholar

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