Espace de liberté d’un sous-ensemble convexe de 𝐑 n

Joël Benoist

Annales de la Faculté des sciences de Toulouse : Mathématiques (1996)

  • Volume: 5, Issue: 4, page 553-576
  • ISSN: 0240-2963

How to cite

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Benoist, Joël. "Espace de liberté d’un sous-ensemble convexe de ${\bf R}^n$." Annales de la Faculté des sciences de Toulouse : Mathématiques 5.4 (1996): 553-576. <http://eudml.org/doc/73394>.

@article{Benoist1996,
author = {Benoist, Joël},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {convex subset; liberty space},
language = {fre},
number = {4},
pages = {553-576},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Espace de liberté d’un sous-ensemble convexe de $\{\bf R\}^n$},
url = {http://eudml.org/doc/73394},
volume = {5},
year = {1996},
}

TY - JOUR
AU - Benoist, Joël
TI - Espace de liberté d’un sous-ensemble convexe de ${\bf R}^n$
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1996
PB - UNIVERSITE PAUL SABATIER
VL - 5
IS - 4
SP - 553
EP - 576
LA - fre
KW - convex subset; liberty space
UR - http://eudml.org/doc/73394
ER -

References

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  1. [1] Bair ( J.) .— A geometric description of the inner aperture of a convex set, Acta Math., 38, 1-4 (1981) , pp. 237-240. Zbl0483.52002MR647343
  2. [2] Bair ( J.) .— Liens entre le cône d'ouverture interne et l'internat du cône asymptotique d'un convexe, Bull. Soc. Roy. Sc. Liège, 35, n° 2 (1983), pp. 177-187. Zbl0573.52005MR731806
  3. [3] Brondsted ( A.) .— The inner aperture of a convex set, Pacific J. Math., 72, n° 2 (1977) , pp. 335-340. Zbl0357.52005MR467522
  4. [4] Brondsted ( A.). - Intersections of translates of convex sets, Mathematika, 24 (1977), pp. 122-129. Zbl0348.52007MR451165
  5. [5] Clark ( C.) .— On convex sets of finite width, J. London Math. Soc., 43 (1968), pp. 513-516. Zbl0155.31201MR227861
  6. [6] Clarke ( F.) .— Optimization and nonsmooth Analysis, New York, John Wiley (1983). Zbl0582.49001MR709590
  7. [7] Gale ( D.) et Klee ( V.) .— Continuous convex sets, Math. Scand., 7 (1959), pp. 379-391. Zbl0115.16501MR117659
  8. [8] Klee ( V.) .— On a question of Colin Clark concerning three properties of convex sets, Canadian Math. Bull. (1972), pp. 535-537. Zbl0251.46025MR341034
  9. [9] Larman ( D.G.) .— On the inner aperture and intersections of convex sets, Pacific J. Math., 55 (1974), pp. 219-232. Zbl0321.52002MR383245
  10. [10] Rockafellar ( R.T.) .— Convex Analysis, Princeton University Press (1970). Zbl0193.18401MR274683
  11. [11] Thorp ( E.) and Whitley ( R.) .— Partially bounded sets of infinite width, J. Reine Angew. Math., 248 (1971), pp. 117-122. Zbl0212.14404MR279569

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