Geodesic
Krasnosel'skii Theorems for Non-Separating Compact Sets
Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 247-249

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

Let S ⊂ Rd , d ≥ 2, be compact and let E denote the set (d — 2) — extreme points of S. M. Breen has shown that if E is countable and S ≠ E, then S is planar. A new proof of this result is given as well as a Krasnosl'skii theorem for (d - 2) extreme points which combines and generalizes previous results.
DOI : 10.4153/CMB-1983-039-7
Mots-clés : Primary 52A30, Secondary 52A20 
Stavrakas, N. Krasnosel'skii Theorems for Non-Separating Compact Sets. Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 247-249. doi: 10.4153/CMB-1983-039-7
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