Geodesic
Dilated Sets and Characterizations of Simplexes.
Inventiones mathematicae, Tome 56 (1980), pp. 101-108
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Mots-clés : simplex, dilated set, split face, parallel face, affine function, extension, compact convex set, extreme points 
@article{IM_1980__56_142689,
     author = {A.J. Ellis and A.K. Roy},
     title = {Dilated {Sets} and {Characterizations} of {Simplexes.}},
     journal = {Inventiones mathematicae},
     pages = {101--108},
     year = {1980},
     volume = {56},
     zbl = {0433.46007},
     url = {http://geodesic.mathdoc.fr/item/IM_1980__56_142689/}
}
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A.J. Ellis; A.K. Roy. Dilated Sets and Characterizations of Simplexes.. Inventiones mathematicae, Tome 56 (1980), pp. 101-108. http://geodesic.mathdoc.fr/item/IM_1980__56_142689/