Geodesic
Axioms for an n-metric Structure
Canadian journal of mathematics, Tome 25 (1973) no. 1, pp. 24-30

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

From Euclid to Hilbert, and beyond, the primitive terms of geometry have been taken as “point,” “line,” etc., while “distance” plays a secondary role. The reversal of this situation is a modern development. Frechet [4], in 1906 first considered the properties of distance which should be formalized. The most significant contributions to the geometric properties of metric spaces have been by Menger [10] and Blumenthal [2; 3]. 
Grant, Kerry E. Axioms for an n-metric Structure. Canadian journal of mathematics, Tome 25 (1973) no. 1, pp. 24-30. doi: 10.4153/CJM-1973-003-5
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