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PROPRIÉTÉS INDUCTIVES ET SOUS-ENSEMBLES MAXIMAUX
We look for properties verifying the following theorem : A set A has property P if and only if it contains one and only one maximal subset having. property P. Furthermore, we solve another problem, namely the characterization of star-shaped sets in terms of their maximal convex subsets. Finally, we give some new properties of irradiated sets in connection with their maximal convex subsets.
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A propos de : Léopold BRAGARD
Institut de Mathématique, 15 av. des Tilleuls, Liège