Abstract
An axiomatic treatment of Galilean space-time is carried out in the spirit of metrical geometry. According to it only material concepts enter the postulates. The central notion thereby is that of the Galilean inertial relation introduced in a previous paper [1]. In the course of the investigations a bit of theory for strictly convex metric spaces is developed.
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Castrigiano, D. P. L., and Süssmann, G. (1984). Galilean Inertial Structure. II,Gen. Rel. Grav.,16, 893.
Castrigiano, D. P. L., and Süssmann, G. (1984). Inertial Structure. I,Gen. Rel. Grav.,16, 867.
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Castrigiano, D.P.L. Metrical geometry of Galilean inertial structure. III. Gen Relat Gravit 16, 901–908 (1984). https://doi.org/10.1007/BF00760097
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DOI: https://doi.org/10.1007/BF00760097