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- Volume 69 - Année 2000
- Numéro 1
- TIETZE - TYPE THEOREM FOR LOCALLY NONCONICAL CONVEX SETS
ya que 05 febrero 2011 :
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Vista(s): 296 (1 ULiège)
Descargar(s): 139 (4 ULiège)
J. Cel 
TIETZE - TYPE THEOREM FOR LOCALLY NONCONICAL CONVEX SETS
(Volume 69 - Année 2000 — Numéro 1)
Article
Mots-clés : locally nonconical convex set, Tietze-type theorem
Abstract
A convex subset Q of a real topological linear space L is called locally nonconical at a point q Q if and only if there exists a relative neighbourhood Qq of q in Q such that for every two points x, y Qq there is a relative neighbourhood Q, of x in Q such that Qx + (y - x) Q. Q is called locally nonconical if and only if this condition is satisfied for every two points x, y Q. It is proved that Q is locally nonconical if and only if it is locally nonconical at every boundary point belonging to Q. This contributes to a recent work of Shell.
Para citar este artículo
J. Cel, «TIETZE - TYPE THEOREM FOR LOCALLY NONCONICAL CONVEX SETS», Bulletin de la Société Royale des Sciences de Liège [En ligne], Volume 69 - Année 2000, Numéro 1, 13 - 15 URL : https://popups.uliege.be/0037-9565/index.php?id=1655.
Acerca de: J. Cel
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