Geodesic
Carathéodory's Theorem
Canadian mathematical bulletin, Tome 15 (1972) no. 2, p. 293

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

Despite the abundance of generalizations of Carathéodory's theorem occurring in the literature (see [1]), the following simple generalization involving infinite convex combinations seems to have passed unnoticed. Boldface letters denote points of R n and Greek letters denote scalars. 
Cook, W. D.; Webster, R. J. Carathéodory's Theorem. Canadian mathematical bulletin, Tome 15 (1972) no. 2, p. 293. doi: 10.4153/CMB-1972-053-6
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[1] 1. Reay, J. R., Generalizations of a theorem of Carathéodory, Memoir. Amer. Math. Soc. 54, 1965. Google Scholar

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