Skip to main content
SpringerLink
Log in

On bicompact extensions of tychonoff spaces

  • Published:
Monatshefte für Mathematik Aims and scope Submit manuscript

Abstract

Necessary and sufficient conditions for existence of the minimal elements in some subsets of the partially-ordered set of all Hausdorff bicompact extensions of the completely regularT 1 spaces are given.

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

Similar content being viewed by others

References

  1. Alo, R. A., H. L. Shapiro, andM. Weir: Realcompactness and Wallman realcompactification. Portugal. Math.34, 33–43 (1975).

    Google Scholar 

  2. Blair, R. L.: Spaces in which special sets arez-embedded. Canad. J. Math.28, 673–690 (1976).

    Google Scholar 

  3. Chigogidze, A. Ch.: Inductive dimensions for completely regular spaces. Comment. Math. Univ. Carolinae18, 623–637 (1977).

    Google Scholar 

  4. Gillman, L., andM. Jerison: Rings of Continuous Functions. Princeton: Van Nostrand. 1960.

    Google Scholar 

  5. Hager, A. W.: On inverse-closed subalgebras ofC (X). Proc. London Math. Soc.19, 233–257 (1969).

    Google Scholar 

  6. Hager, A. W.: Problems Posed by Conference Participants. In: TOPO 72 — General Topology and Its Applications. Proceedings 1972. Ed. byR. Alo, R. W. Heath andJ. Nagata. Lecture Notes Math. 378, p. 649. Berlin-Heidelberg-New York: Springer. 1974.

    Google Scholar 

  7. Ivanov, A. V.: On the dimension of incompletely normal spaces. Vestnik Mosk. Univ. 4, 21–27 (1976).

    Google Scholar 

  8. Steiner, A. K., andE. F. Steiner: Wallman andZ-compactifications. Duke Math. J.35, 269–275 (1968).

    Google Scholar 

  9. Steiner, A. K., andE. F. Steiner: Nest generated intersection rings in Tychonoff spaces. Trans. Amer. Math. Soc.148, 589–601 (1970).

    Google Scholar 

  10. Walker, R. C.: The Stone-Čech Compactification, New York-Berlin: Springer. 1974.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanics and Mathematics, Tbilisi State University, 380028, Tbilisi, Georgia, USSR

    A. Chigogidze

Authors
  1. A. Chigogidze
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chigogidze, A. On bicompact extensions of tychonoff spaces. Monatshefte für Mathematik 88, 211–218 (1979). https://doi.org/10.1007/BF01295235

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01295235

Keywords

Search

Navigation