Bulletin de la Société Royale des Sciences de Liège

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Léopold BRAGARD

PROPRIÉTÉS INDUCTIVES ET SOUS-ENSEMBLES MAXIMAUX

(Volume 38 - Année 1969 — Numéro 1 - 2)
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Abstract

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.

To cite this article

Léopold BRAGARD, «PROPRIÉTÉS INDUCTIVES ET SOUS-ENSEMBLES MAXIMAUX», Bulletin de la Société Royale des Sciences de Liège [En ligne], Numéro 1 - 2, Volume 38 - Année 1969, 8 - 13 URL : http://popups.ulg.be/0037-9565/index.php?id=1193.

About: Léopold BRAGARD

Institut de Mathématique, 15 av. des Tilleuls, Liège