Geodesic
Algebraic Separation and Shadowing of Arbitrary Sets
Commentationes Mathematicae, Tome 53 (2013) no. 2, p. 155−164.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In this paper we consider a generalization of the separation technique proposed in [10,4,7] for the separation of finitely many compact convex sets \(A_i,~i \in I \) by another compact convex set \(S\) in a locally convex vector space to arbitrary sets in real vector spaces. Then we investigate the notation of shadowing set which is a generalization of the notion of separating set and construct separating sets by means of a generalized Demyanov-difference in locally convex vector spaces.
DOI : 10.14708/cm.v53i2.781
Mots-clés : separation, geometry of convex sets, Demyanov difference, data-classification 
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Jerzy Grzybowski; Diethard Pallaschke; Ryszard Urbański. Algebraic Separation and Shadowing of Arbitrary Sets. Commentationes Mathematicae, Tome 53 (2013) no. 2, p.  155−164. doi : 10.14708/cm.v53i2.781. http://geodesic.mathdoc.fr/articles/10.14708/cm.v53i2.781/

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