Siberian Mathematical Journal

, Volume 30, Issue 1, pp 120–128 | Cite as

Pseudocompact topological groups and their properties

  • M. G. Tkachenko


Topological Group Pseudocompact Topological Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    W. W. Comfort and K. A. Ross, “Pseudocompactness and uniform continuity in topological groups,” Pac. J. Math.,16, No. 3, 483–496 (1966).Google Scholar
  2. 2.
    A. V. Arkhangel'skii, “Relations between invariants of topological groups and their subspaces,” Usp. Mat. Nauk,35, No. 3, 3–22 (1980).Google Scholar
  3. 3.
    M. V. Matveev, “Pseudocompact and similar spaces,” Candidate's Dissertation, Moscow (1984).Google Scholar
  4. 4.
    W. W. Comfort and T. Soundararajan, “Pseudocompact group topologies and totally dense subgroups,” Pac. J. Math.,100, No. 1, 61–84 (1982).Google Scholar
  5. 5.
    R. Engelking, General Topology, PWN, Warszawa (1977).Google Scholar
  6. 6.
    E. V. Shchepin, “Real functions and canonical sets in Tikhonov products and topological groups,” Usp. Mat. Nauk,31, No. 6, 17–27 (1976).Google Scholar
  7. 7.
    M. G. Tkacenko, “Some results on inverse spectra. II,” Comment. Math. Univ. Carol.,22, No. 4, 819–841 (1981).Google Scholar
  8. 8.
    W. W. Comfort and V. Saks, “Countably compact groups and finest totally bounded uniformities,” Pac. J. Math.,49, No. 1, 33–44 (1973).Google Scholar
  9. 9.
    M. G. Tkacenko, “Examples of connected left-separated spaces and topological groups,” Acta Math. Acad. Sci. Hung.,38, No. 4, 257–261 (1981).Google Scholar
  10. 10.
    N. Noble, “The continuity of functions on Cartesian products,” Trans. Am. Math. Soc.,149, No. 1, 187–198 (1970).Google Scholar
  11. 11.
    A. Hajnal and I. Juhasz, “A separable normal topological group need not be Lindelöf,” Gen. Top. Appl.,6, 199–205 (1976).Google Scholar
  12. 12.
    E. K. van Douwen, “The product of two countably compact topological groups,” Trans. Am. Math. Soc.,262, No. 2, 417–427 (1980).Google Scholar
  13. 13.
    M. I. Kargopolov and Yu. I. Merzlyakov, Foundations of Group Theory [in Russian], Nauka, Moscow (1977).Google Scholar
  14. 14.
    E. Hewitt and K. A. Ross, Abstract Harmonic Analysis [Russian translation], Vol. 1, Nauka, Moscow (1975).Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • M. G. Tkachenko

There are no affiliations available

Personalised recommendations