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

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DOI

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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     title = {Krasnosel'skii {Theorems} for {Non-Separating} {Compact} {Sets}},
     journal = {Canadian mathematical bulletin},
     pages = {247--249},
     year = {1983},
     volume = {26},
     number = {2},
     doi = {10.4153/CMB-1983-039-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-039-7/}
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