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Title: Équivalences concernant la séparation de plusieurs cônes convexes (French)
Title: On equivalences concerning the separation of several convex cones (English)
Author: Bair, Jacques
Author: Vangeldère, Joseph
Language: French
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 21
Issue: 3
Year: 1980
Pages: 535-549
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Category: math
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MSC: 52A05
MSC: 52A20
MSC: 54A05
MSC: 90C25
idZBL: Zbl 0447.52001
idMR: MR590133
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Date available: 2008-06-05T21:05:36Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106019
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Reference: [1] BAIR J.: Séparation d'ensembles dans un espace vectoriel.dissertation doctorale, Université de Liège, 1974.
Reference: [2] BAIR J.: A propos d'un problème de Klee sur la séparation de plusieurs ensembles.Math. Scand. 38 (1976), 341-349. Zbl 0335.46001, MR 0423191
Reference: [3] BAIR J., FOURNEAU R.: Etude géométrique des espaces vectoriels - une introduction.Lecture Notes in Math., vol. 489, Springer, Berlin - Heidelberg - New York, 1975. Zbl 0334.50001, MR 0493253
Reference: [4] BAIR J., FOURNEAU R.: Etude géométrique des espaces vectoriels II - polyèdres et polytopes convexes.éd. ronéotypée, Université de Liège, 1976. MR 0580802
Reference: [5] BRAGARD L., VANGELDERE J.: Points efficaces en programmation à objectifs multiples.Bull. Soc. Roy. Se. Liège 46 (1977), 27-41. Zbl 0365.90124, MR 0452685
Reference: [6] BOLT'YANSKII V. G.: The separation property of a system of convex cones.Izv. Akad. Nauk. Armyan SSR, 7 (1972), 250-257. MR 0331218
Reference: [7] BOLT'YANSKII V. G.: The method of tents in the theory of extremal problems.Russian Math. Survey, 30 (1975), 1-54. MR 0445371
Reference: [8] COQUET G., DUPIN J.C.: Sur l'intersection des translatés d'ensembles convexes.Bull. Soc. Roy. Se. Liège, 47 (1978), 299-306. Zbl 0412.52002, MR 0535371
Reference: [9] DEUMLICH R., ELSTER K. H., NEHSE R.: Recent results on separation of convex sets.Math. Operat. 9 (1978), 273-296. Zbl 0399.52001, MR 0506930
Reference: [10] GALE D.: Separation theorems for families of convex sets.Bull. Amer. Math. Soc. 59 (1953), 556.
Reference: [11] VANGELDERE J.: Propriété de l'intersection en dimension quelconque.à paraître. Zbl 0434.52001
Reference: [12] VLACH M.: A separation theorem for finite families.Comment. Math. Univ. Carolinae 12 (1971), 655-660. Zbl 0229.52008, MR 0290126
Reference: [13] VLACH M.: A concept of separation for families of sets.Ek. Mat. Obzor 12 (1976), 316-324. Zbl 0349.90078, MR 0461296
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