Geodesic
Spaces with bases of finite rank
Sbornik. Mathematics, Tome 16 (1972) no. 2, pp. 147-158 
A. V. Arkhangel'skii; V. V. Filippov. Spaces with bases of finite rank. Sbornik. Mathematics, Tome 16 (1972) no. 2, pp. 147-158. http://geodesic.mathdoc.fr/item/SM_1972_16_2_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this article we investigate spaces having bases of finite rank and finite big rank. Bibliography: 12 titles.

[1] P. S. Aleksandrov, “O metrizatsii topologicheskikh prostranstv”, Byull. Polskoi Akad. nauk, seriya matem., astr. i fiz., 8:3 (1960), 135–140 | Zbl

[2] A. V. Arkhangelskii, “O rangakh sistem mnozhestv i razmernosti prostranstv”, Fundam. Math., 52 (1963), 257–275

[3] A. V. Arkhangelskii, “$k$-Mernye metrizuemye prostranstva”, Vestnik MGU, seriya matem., 1962, no. 2, 3–6

[4] A. V. Arkhangelskii, “Ob odnom klasse prostranstv, soderzhaschem vse metricheskie i vse lokalno bikompaktnye prostranstva”, Matem. sb., 67(109) (1965), 89–134

[5] A. V. Arkhangelskii, “Bikompaktnye mnozhestva i topologiya prostranstv”, Trudy Mosk. matem. ob-va, 13 (1965), 3–55

[6] A. V. Arkhangelskii, “Additsionnaya teorema dlya vesa mnozhestv, lezhaschikh v bikompaktakh”, DAN SSSR, 126:2 (1959), 239–241

[7] R. H. Bing, “Metrization of topological spaces”, Canad. Math. J., 3 (1951), 175–186 | MR | Zbl

[8] K. Nagami, “Paracompactness and strong screenability”, Nagoya Math. J., 8 (1955), 83–88 | MR | Zbl

[9] P. Alexandroff, H. Hopf, Topologie. I, J. Springer, Berlin, 1935 | MR | Zbl

[10] I. I. Parovichenko, “Gipoteza vetvleniya i sootnosheniya mezhdu lokalnym vesom i moschnostyu topologicheskikh prostranstv”, DAN SSSR, 174:1 (1967), 30–32 | Zbl

[11] I. I. Parovichenko, “K probleme vetvleniya”, Uchenye zapiski Kishinevskogo un-ta fiz.-matem., 39 (1959), 189–193

[12] K. Kuratovskii, Topologiya, t. I, Mir, Moskva, 1966 | MR