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 |
. |
Category:
|
math |
. |
MSC:
|
52A05 |
MSC:
|
52A20 |
MSC:
|
54A05 |
MSC:
|
90C25 |
idZBL:
|
Zbl 0447.52001 |
idMR:
|
MR590133 |
. |
Date available:
|
2008-06-05T21:05:36Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106019 |
. |
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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