References
P. S. Aleksandrov and P. S. Urysohn, Mémoire sur les Espaces Topologique Compact [Russian translation], Nauka, Moscow (1971).
A. V. Arkhangel'skiį, “Ranks of systems of sets and dimension of spaces,” Fundam. Math.,52, 257–275 (1963).
A. V. Arkhangel'skiį and V. V. Filippov, “Spaces with bases of finite rank,” Mat. Sb.,87, No. 2, 147–158 (1972).
G. I. Chertanov, “On spaces with bases determined by strings of sets,” International Baku Conference on Topology, in: Abstracts of Reports (Baku, 1987) [in Russian], Part II, Baku (1987), p. 331.
R. Engelking, General Topology [Russian translation], Mir, Moscow (1986).
S. Purisch, “The orderability of nonarchimedian space,” Topology and its Appl.,16, 272–277 (1983).
A. V. Arkhangel'skiį, “Spaces of functions in the topology of pointwise convergence and compacta,” Usp. Mat. Nauk,39, No. 5, 11–50 (1984).
B. A. Efimov and G. I. Chertanov, “On some operations over classes of topological spaces,” Dokl. Akad. Nauk SSSR,216, No. 1, 25–27 (1974).
V. E. Shapirovskiį, “On discrete subspaces of topological spaces. Weight, tightness, and Suslin's number,” Dokl. Akad Nauk SSSR,202, No. 4, 779–782 (1972).
A. V. Arkhangel'skiį, “Approximation to the theory of dyadic bicompacta,” Dokl. Akad. Nauk SSSR,187, No. 4, 767–770 (1969).
A. V. Arkhangel'skiį, “Structure and classification of topological spaces and cardinal invariants,” Usp. Mat. Nauk,33, No. 6, 29–84 (1978).
G. I. Chertanov, “Products of linearly ordered spaces and continuous mappings,” Dokl. Akad. Nauk SSSR,223, No. 6, 1322–1325 (1975).
G. I. Chertanov, “Connection between Aronszajn trees and nonmetrizable ℵ0-monolithic linearly ordered bicompacta satisfying the first countability axiom,” Sib. Mat. Zh.,23, No. 4, 166–179 (1982).
Additional information
Tol'jatti. Translated fromSibirskiį Matematicheskiį Zhurnal, Vol. 33, No. 4, pp. 194–205, July–August, 1992.
Translated by S. S. Kutateladze
Rights and permissions
About this article
Cite this article
Chertanov, G.I. On spaces with bases defined by strings of sets. Sib Math J 33, 722–731 (1992). https://doi.org/10.1007/BF00971138
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00971138