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Boundedness and pseudocompactness in topological groups

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Literature cited

  1. A. A. Markov, “Free topological groups,” Izv. Akad. Nauk SSSR, Ser. Mat.,9, No. 1, 3–64 (1945).

    Google Scholar 

  2. E. V. Shchepin, “κ-Metrizable spaces,” Izv. Akad. Nauk SSSR, Ser. Mat.,43, No. 2, 442–478 (1979).

    Google Scholar 

  3. V. G. Pestov, “Properties of free topological groups,” Vestn. Mosk. Gos. Univ., Ser. Mat., Mekh., No. 1, 35–37 (1982).

    Google Scholar 

  4. A. V. Arkhangel'skii, “Relations between invariants of topological groups and their subspaces,” Usp. Mat. Nauk,35, No. 3, 3–22 (1980).

    Google Scholar 

  5. G. Tkachenko, “Souslin property in free topological groups over bicompacta,” Mat. Zametki,34, No. 4, 601–607 (1983).

    Google Scholar 

  6. I. I. Guran, “Topological groups which are nearly finally compact,” Dokl. Akad. Nauk SSSR,256, No. 6, 1035–1037 (1981).

    Google Scholar 

  7. A. V. Arkhangel'skii, “Addition theorem for the weight of sets lying in bicompacta,” Dokl. Akad. Nauk SSSR,126, No. 2, 239–241 (1959).

    Google Scholar 

  8. G. Tkachenko, “The notion of o-tightness and C-embedded subspaces of products,” Topology Appl.,15, No. 1, 93–98 (1983).

    Google Scholar 

  9. V. K. Bel'nov, “Dimension of free topological groups,” in: Abstracts of the 4th Tiraspol Symposium on General Topology and Its Applications, 1979 [in Russian], Shtiintsa, Kishinev (1979), pp. 14–15.

    Google Scholar 

  10. P. S. Aleksandrov and B. A. Pasynkov, Introduction to Dimension Theory [in Russian], Nauka, Moscow (1973).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 41, No. 3, pp. 400–405, March, 1987.

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Tkachenko, M.G. Boundedness and pseudocompactness in topological groups. Mathematical Notes of the Academy of Sciences of the USSR 41, 229–231 (1987). https://doi.org/10.1007/BF01158254

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