Skip to main content
SpringerLink
Log in

Maximal connected Hausdorff spaces

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. J. P. Thomas, “Maximal connected topologies,” J. Austral. Math. Soc.,8, No. 4, 700–705 (1968).

    Google Scholar 

  2. E. Hewitt, “A problem of set-theoretical topology,” Duke Math. J.,10, No. 2, 309–333 (1943).

    Google Scholar 

  3. N. Bourbaki, General Topology, Addison-Wesley (1968).

  4. A. V. Arkhangel'skii and V. I. Ponomarev, Foundations of General Topology in Problems and Exercises [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  5. V. I. Ponomarev, “On spaces coabsolute with metric ones,” Usp. Mat. Nauk,21, No. 4, 101–132 (1966).

    Google Scholar 

  6. P. S. Aleksandrov, “On bicompact completions of topological spaces,” Mat. Sb.,5, No. 2, 403–423 (1939).

    Google Scholar 

  7. G. Choquet, “Construction d'ultrafiltres sur N,” Bull. Sci. Math. Ser. 2,92, No. 1–2, 41–48 (1968).

    Google Scholar 

  8. J. A. Guthrie, D. F. Reynolds, H. E. Stone, “Connected expansions of topologies,” Bull. Austral. Math. Soc.,9, No. 2, 259–265 (1973).

    Google Scholar 

  9. J. P. Thomas, “Maximal connected Hausdorff spaces,” Pac. J. Math.,57, No. 2, 581–583 (1975).

    Google Scholar 

  10. A. G. El'kin, “Ultrafilters and indecomposable spaces,” Vestn. Mosk. Gos. Univ., Ser. Mat., Mekh.,5, 51–56 (1969).

    Google Scholar 

  11. I. Baggs, “A connected Hausdorff space which is not contained in a maximal connected space,” Pac. J. Math.,51, No. 1, 11–18 (1974).

    Google Scholar 

  12. A. G. El'kin, “On decomposable spaces,” Dokl. Akad. Nauk SSSR,186, No. 1, 9–12 (1969).

    Google Scholar 

  13. P. Simon, “An example of maximal connected Hausdorff space,” Fund. Math.,100, No. 2, 157–163 (1978).

    Google Scholar 

  14. J. A. Guthrie, H. E. Stone, and N. L. Wage, “Maximal connected expansions of the reals,” Proc. Am. Math. Soc.,69, No. 1, 159–165 (1978).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow Institute of Machine Tool Construction, USSR

    A. G. El'kin

Authors
  1. A. G. El'kin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 26, No. 6, pp. 939–948, December, 1979.

The author expresses gratitude to V. I. Ponomarev for a discussion of the results of this note.

Rights and permissions

Reprints and permissions

About this article

Cite this article

El'kin, A.G. Maximal connected Hausdorff spaces. Mathematical Notes of the Academy of Sciences of the USSR 26, 974–978 (1979). https://doi.org/10.1007/BF01142086

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01142086

Keywords

Search

Navigation