Skip to main content
SpringerLink
Log in

Completeness in quasi-uniform spaces

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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

References

  1. Alfsen, E., andJ. Fenstad: On the equivalence between proximity structures and totally bounded uniform structures. Math. Scand.7, 353–360 (1959).

    Google Scholar 

  2. Cohen, L.: Uniformity properties in topological space satisfying the first denumerability postulate. Duke Math. J.3, 610–615 (1937).

    Google Scholar 

  3. Császár, A.: Fondements de la topologie générale. Paris: Gauthier-Villars 1960.

    Google Scholar 

  4. Doss, R.: On uniform spaces with a unique structure. Am. J. Math.71, 19–23 (1949).

    Google Scholar 

  5. Gál, I.: Proximity relations and precompact structures. Kon. Ned. Akad. Wet. A62, 304–326 (1959).

    Google Scholar 

  6. Isbell, J.: Math. Rev.22, 683 (1961).

    Google Scholar 

  7. Konishi, I.: On uniform topologies in general spaces. J. Math. Soc. Japan4, 166–188 (1952).

    Google Scholar 

  8. Niemytzki, V., andA. Tychonoff: Beweis des Satzes, daß ein metrisierbarer Raum dann und nur dann kompakt ist, wenn er in jeder Metrik vollständig ist. Fundamenta Math.12, 118–120 (1928).

    Google Scholar 

  9. Pervin, W.: Quasi-uniformization of topological spaces. Math. Ann.147, 316–317 (1962).

    Google Scholar 

  10. Tamari, D.: On a generalization of uniform structures and spaces. Bull. Res. Council Israel3, 417–428 (1954).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Shippensburg, Pennsylvania, USA

    J. L. Sieber

  2. Heidelberg

    W. J. Pervin

Authors
  1. J. L. Sieber
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. W. J. Pervin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The authors were supported by the National Science Foundation under research grant NSF G-22 690.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sieber, J.L., Pervin, W.J. Completeness in quasi-uniform spaces. Math. Ann. 158, 79–81 (1965). https://doi.org/10.1007/BF01370731

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01370731

Search

Navigation