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A balance test for locally compact groups. (English. Russian original) Zbl 0663.22004

Ukr. Math. J. 40, No. 1, 109-111 (1988); translation from Ukr. Mat. Zh. 40, No. 1, 127-129 (1988).
See the review in Zbl 0648.22003.

MSC:

22D05 General properties and structure of locally compact groups

Citations:

Zbl 0648.22003
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Full Text: DOI

References:

[1] G. Itzkowitz, ?Uniform structure in topological groups,? Proc. Am. Math. Soc.,57, No. 2, 363-366 (1976). · Zbl 0329.22005 · doi:10.1090/S0002-9939-1976-0404518-3
[2] Unsolved Problems of Topological Algebra, Akad. Nauk, Moldavian SSR, Inst. Math. and Comp. Sci., Kishinev (1985).
[3] M. I. Karganolov and Yu. I. Merzlyakov, Fundamentals of the Theory of Groups, Springer-Verlag, New York (1979).
[4] M. G. Tkachenko, ?Completeness of topological groups,? Sib. Mat. Zh.,25, No. 1, 146-158 (1984). · Zbl 0536.22003
[5] A. V. Arkhangel’skii, ?Classes of topological groups,? Usp. Mat. Nauk,36, No. 3, 127-146 (1981).
[6] E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, Vol. 1, Springer-Verlag, New York-Heidelberg-Berlin (1963). · Zbl 0115.10603
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[8] M. G. Tkachenko, ?The Suslin property in free topological groups over bicompacta,? Mat. Zametki,34, No. 4, 601-607 (1983).
[9] A. V. Arkhangel’skii, ?On the relations between invariants of topological groups and their subspaces,? Usp. Mat. Nauk,35, No. 3, 3-22 (1980).
[10] P. Hafner and G. Mazzola, ?The cofinal character of uniform spaces and ordered fields,? Z. Math. Logik Grundlagen Math.,17, 377-384 (1971). · Zbl 0195.05602 · doi:10.1002/malq.19710170142
[11] V. G. Pestov, ?Embeddings and contractions of topological groups,? Mat. Zametki,31, No. 3, 443-446 (1982). · Zbl 0507.22001
[12] A. Hayes, ?Uniformities with totally ordered bases have paracompact topologies,? Proc. Cambridge Phil. Soc.,74, 67-68 (1973). · Zbl 0268.54027 · doi:10.1017/S0305004100047794
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