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Some properties of free topological groups. (English) Zbl 0576.22002
Translation from Mat. Zametki 37, No. 1, 110–118 (Russian) (1985; Zbl 0568.22001).

MSC:
22A05 Structure of general topological groups
20E05 Free nonabelian groups
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References:
[1] M. G. Tkachenko, ”On completeness of topological groups,” Sib. Mat. Zh.,25, No. 1, 146–158 (1984). · Zbl 0536.22003
[2] M. G. Tkačenko, ”On topologies of free groups,” Czechoslovak Math. J.,33, No. 1, 57–69 (1984).
[3] P. Hafner and G. Mazzola, ”The cofinal character of uniform spaces and ordered fields,” Z. Math. Logik Grundl. Math.,17, No. 5, 377–384 (1971). · Zbl 0195.05602 · doi:10.1002/malq.19710170142
[4] E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, Vol. 1, Springer-Verlag (1963). · Zbl 0115.10603
[5] S. A. Morris and H. B. Thompson, ”Invariant metrics on free topological groups,” Bull. Austral. Math. Soc.,9, No. 1, 83–88 (1973). · Zbl 0255.22002 · doi:10.1017/S0004972700042908
[6] A. V. Arkhangel’skii, ”On relationships between invariants of topological groups and their subspaces,” Usp. Mat. Nauk,35, No. 3, 3–22 (1980).
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