Geodesic
On a Problem of Klee
Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 125-126

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

Let E be a Hausdorff topological vector space. A subset A of E is a polytope iff A is the convex hull of a finite number of points. In this note a necessary condition for every maximal convex subset of a subset B of E to be a polytope is given. This is related to a problem first posed by Klee [1] for compact three-cells in Euclidean 3 space. 
Stavrakas, N. M.; Jamison, R. E. On a Problem of Klee. Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 125-126. doi: 10.4153/CMB-1971-025-6
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[1] 1. Klee, V. L., Some characterizations of convex polyhedra, Acta Math. 102 (1959), 79-107. Google Scholar

[2] 2. Valentine, F. A., Convex sets, McGraw-Hill, New York (1964), 6-7. Google Scholar

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