Subspaces of sequential spaces
Matematičeskie zametki, Tome 64 (1998) no. 3, pp. 407-413 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

It is proved that the space of continuous functions on the ordinary closed interval with the topology of pointwise convergence is not subsequential. In sequential spaces satisfying certain conditions, subspaces dense-in-themselves without convergent sequences are found; such subspaces are constructed in certain sequential compact spaces and semitopological groups.
@article{MZM_1998_64_3_a8,
     author = {V. I. Malykhin},
     title = {Subspaces of sequential spaces},
     journal = {Matemati\v{c}eskie zametki},
     pages = {407--413},
     year = {1998},
     volume = {64},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_64_3_a8/}
}
TY  - JOUR
AU  - V. I. Malykhin
TI  - Subspaces of sequential spaces
JO  - Matematičeskie zametki
PY  - 1998
SP  - 407
EP  - 413
VL  - 64
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MZM_1998_64_3_a8/
LA  - ru
ID  - MZM_1998_64_3_a8
ER  - 
%0 Journal Article
%A V. I. Malykhin
%T Subspaces of sequential spaces
%J Matematičeskie zametki
%D 1998
%P 407-413
%V 64
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1998_64_3_a8/
%G ru
%F MZM_1998_64_3_a8
V. I. Malykhin. Subspaces of sequential spaces. Matematičeskie zametki, Tome 64 (1998) no. 3, pp. 407-413. http://geodesic.mathdoc.fr/item/MZM_1998_64_3_a8/

[1] Pytkeev E. G., “O maksimalnoi razlozhimosti prostranstv”, Tr. MIAN, 154, Nauka, M., 1983, 209–213 | MR | Zbl

[2] Malykhin V. I., Tironi G., “Weakly FU-spaces”, Quaderni Matematica. II Serie, no. 386, Univ. di Trieste, 1996, 1–9

[3] Arkhangelskii A. V., Topologicheskie prostranstva funktsii, Izd-vo MGU, M., 1989

[4] Bella A., Malykhin V. I., “Around tight point”, Topology Appl., 20 (1997), 1–8 | DOI | MR

[5] Uspenskii V. V., “O spektre chastot funktsionalnykh prostranstv”, Vestn. MGU. Ser. 1. Matem., mekh., 1982, no. 1, 31–35 | MR | Zbl

[6] Nedev S., Choban M. M., “O metrizuemosti topologicheskikh grupp”, Vestn. MGU. Ser. 1. Matem., mekh., 1968, no. 6, 18–20 | MR | Zbl