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Literature cited
A. A. Markov, “On free topological groups,” Dokl. Akad. Nauk SSSR,31, No. 4, 299–301 (1941).
A. A. Markov, “On free topological groups,” Izv. Akad. Nauk SSSR, Ser. Mat.,9, No. 1, 3–64 (1945).
R. Engelking, General Topology, PWN, Warsaw (1977).
J. L. Kelley, General Topology, Springer-Verlag (1975).
E. V. Shchepin, “On topological products, groups, and a new class of spaces.which are more general than metric spaces,” Dokl. Akad. Nauk SSSR,226, No. 3, 527–529 (1976).
Textbook on Mathematical Logic, Part II, Set Theory [in Russian], Nauka, Moscow (1982).
K. Kunen, Set Theory, An Introduction to Independence Proofs, North-Holland, Amsterdam (1980).
W. W. Comfort and S. Negrepontis, Chain Conditions in Topology, Cambridge Univ. Press (1982).
J. Neumann, “Zum Haarschen Mass in topologischen Gruppen,” Comp. Math.,1, No. 1, 106–114 (1934).
P. R. Halmos, Measure Theory, Springer-Verlag (1974).
L. N. Ivanovskii, “On a hypothesis of P. S. Aleksandrov,” Dokl. Akad. Nauk SSSR,123, No. 5, 785–786 (1958).
V. I. Kuz'minov, “On P. S. Aleksandrov's hypothesis in the theory of topological groups,” Dokl. Akad. Nauk SSSR,125, No. 4, 727–729 (1959).
M. G. Tkachenko, “On Suslin's property in free topological groups over bicompacta,” Mat. Zametki,34, No. 4, No. 4, 601–607 (1983).
V. V. Uspenskii, “A topological group generated by a Lindelöf Σ-space has Suslin's property,” Dokl. Akad. Nauk SSSR,265, No. 4, 823–825 (1982).
Unsolved Problems in Topological Algebra [in Russian], Shtiintsa, Kishinev (1985).
M. G. Tkachenko, “On the topology of free groups over bicompacta,” in: Mappings and Functors [in Russian], Moscow State Univ. (1984), pp. 122–137.
V. V. Uspenskii, “On continuous images of Lindelöf topological groups,” Dokl. Akad. Nauk SSSR,285, No. 4, 824–827 (1985).
A. Hulanicki, “On the topological structure of O-dimensional topological groups,” Fund. Math.,46, 317–320 (1959).
B. A. Efimov, “Diadic bicompacta,” Tr. MMO,14, 211–247 (1965).
A. V. Arkhangel'skii, “On mappings of everywhere dense subspaces of topological products,” Dokl. Akad. Nauk SSSR,197, No. 4, 750–753 (1971).
A. V. Arkhangel'skii, “Continuous mappings, factorization theorems and spaces of functions,” Tr. MMO,47, 3–21 (1984).
A. V. Arkhangel'skii, “On mappings connected with topological groups,” Dokl. Akad. Nauk SSSR,181, No. 6, 1303–1306 (1968).
M. G. Tkachenko, “On zero-dimensional topological groups,” in: Tr. Leningr. Mezhd. Topol. Konf., Nauka, Leningrad (1983).
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Translated from Matematicheskie Zametki, Vol. 39, No. 6, pp. 859–868, June, 1986.
The author is grateful to A. V. Arkhangel'skii for setting the problems and for discussing the results obtained in this article, and also O. V. Sipacheva for her useful discussions.
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Shakhmatov, D.B. Precalibers of σ-compact topological groups. Mathematical Notes of the Academy of Sciences of the USSR 39, 465–470 (1986). https://doi.org/10.1007/BF01157033
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DOI: https://doi.org/10.1007/BF01157033