Geodesic
On continuous selections of finite-valued set-valued mappings
Eurasian mathematical journal, Tome 9 (2018) no. 1, pp. 83-87 
S. E. Zhukovskiy. On continuous selections of finite-valued set-valued mappings. Eurasian mathematical journal, Tome 9 (2018) no. 1, pp. 83-87. http://geodesic.mathdoc.fr/item/EMJ_2018_9_1_a5/
@article{EMJ_2018_9_1_a5,
     author = {S. E. Zhukovskiy},
     title = {On continuous selections of finite-valued set-valued mappings},
     journal = {Eurasian mathematical journal},
     pages = {83--87},
     year = {2018},
     volume = {9},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2018_9_1_a5/}
}
TY  - JOUR
AU  - S. E. Zhukovskiy
TI  - On continuous selections of finite-valued set-valued mappings
JO  - Eurasian mathematical journal
PY  - 2018
SP  - 83
EP  - 87
VL  - 9
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/EMJ_2018_9_1_a5/
LA  - en
ID  - EMJ_2018_9_1_a5
ER  - 
%0 Journal Article
%A S. E. Zhukovskiy
%T On continuous selections of finite-valued set-valued mappings
%J Eurasian mathematical journal
%D 2018
%P 83-87
%V 9
%N 1
%U http://geodesic.mathdoc.fr/item/EMJ_2018_9_1_a5/
%G en
%F EMJ_2018_9_1_a5

Voir la notice de l'article provenant de la source Math-Net.Ru

Set-valued mappings with finite images are considered. For these mappings, a theorem on the existence of continuous selections is proved.

[1] A.V. Arutyunov, S.E. Zhukovskiy, “Existence and properties of inverse mappings”, Proceedings of the Steklov Institute of Mathematics, 271:1 (2010), 12–22 | DOI | MR

[2] Ch. Kosnevski, Introductory course on algebraic topology, Mir, M., 1983 (in Russian) | MR

[3] E. Michael, “Continuous selections. I”, Annals of Mathematics, 63:2 (1956), 361–382 | DOI | MR

[4] H. Schirmer, “Fix-finite approximation of $n$-valued multifunctions”, Fundamenta Mathematicae, 121 (1984), 73–80 | DOI | MR