Algebras of continuous multifunctions
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 3, pp. 46-50.

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

With the help of methods of nonstandard analysis we investigate continuous convergences in the space ofmultifunctions and describe pseudotopological algebras of continuous multifunctions.
@article{ISU_2009_9_3_a7,
     author = {V. A. Molchanov},
     title = {Algebras of continuous multifunctions},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {46--50},
     publisher = {mathdoc},
     volume = {9},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2009_9_3_a7/}
}
TY  - JOUR
AU  - V. A. Molchanov
TI  - Algebras of continuous multifunctions
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2009
SP  - 46
EP  - 50
VL  - 9
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ISU_2009_9_3_a7/
LA  - ru
ID  - ISU_2009_9_3_a7
ER  - 
%0 Journal Article
%A V. A. Molchanov
%T Algebras of continuous multifunctions
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2009
%P 46-50
%V 9
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ISU_2009_9_3_a7/
%G ru
%F ISU_2009_9_3_a7
V. A. Molchanov. Algebras of continuous multifunctions. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 3, pp. 46-50. http://geodesic.mathdoc.fr/item/ISU_2009_9_3_a7/

[1] Molchanov V. A., “Nestandartnye skhodimosti v prostranstvakh otobrazhenii”, Sib. mat. zhurn., 33:6 (1992), 141–153 | MR

[2] Molchanov V. A., “Nepreryvnye skhodimosti otobrazhenii”, Izv. vuz. Mat., 1993, no. 3, 59–67 | MR | Zbl

[3] Vagner V. V., “Teoriya otnoshenii i algebra chastichnykh otobrazhenii”, Teoriya polugrupp i ee prilozheniya: Sb. statei, 1, Izd-vo Sarat. un-ta, Saratov, 1965, 3–178 pp. | MR

[4] Molchanov V. A., “O primenenii povtornykh nestandartnykh rasshirenii v topologii”, Sib. mat. zhurnal, 30:3 (1989), 64–71 | MR

[5] Albeverio S., Fenstad I., Kheg-Kron R., Lindstrem T., Nestandartnye metody v stokhasticheskom analize i matematicheskoi fizike, Mir, M., 1990, 616 pp. | MR | Zbl

[6] Fischer H. R., “Limesraume”, Math. Ann., 137 (1959), 269–303 | DOI | MR | Zbl

[7] Engelking R., Obschaya topologiya, Mir, M., 1986, 752 pp. | MR

[8] Ascoli G., “Le curve limite di una varieta data di curve”, Mem. Accad. Lincei, 18:3 (1883), 551–586

[9] Weston J. D., “A generalization of Ascoli's theorem”, Mathematika, 6 (1959), 19–24 | DOI | MR | Zbl

[10] Molchanov V. A., “O predstavleniyakh topologicheskikh algebr preobrazovaniyami”, Uspekhi mat. nauk, 48:3(291) (1993), 195–196 | MR | Zbl