Bulletin de la SMF - Parutions - 139 (2011) 89-95 < Parutions < 139

A note on intersections of simplices
David A. Edwards, Ondřej F. K. Kalenda, Jiří Spurný
Bulletin de la SMF 139, fascicule 1 (2011), 89-95

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Résumé :
Sur certaines intersections de simplexes
Nous exposons une démonstration rectifiée de [1, Théorème 9], montrant ainsi que tout simplexe de Choquet métrisable et de dimension infinie se représente comme intersection d'une suite décroissante de simplexes de Bauer.

Mots-clefs : Simplexe, simplexe de Bauer, intersection, matrice de représentation

Abstract:
We provide a corrected proof of [1, Théorème 9] stating that any metrizable infinite-dimensional simplex is affinely homeomorphic to the intersection of a decreasing sequence of Bauer simplices.

Keywords: Simplex, Bauer simplex, intersection, representing matrix

Class. math. : 46A55,52A07

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