Skip to main content
Log in

On equicontinuity and continuous convergence

  • 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

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

Instant access to the full article PDF.

Bibliography

  1. Arens, R. F.: A topology for spaces of transformations. Ann. Math.47, 480–495 (1946).

    Article  MathSciNet  MATH  Google Scholar 

  2. Bourbaki, N.: Topologie générale, chs. I, II. Act. Sci. Ind. 1142. Paris: Hermann & Cie 1951.

    Google Scholar 

  3. —— Espaces vectoriels topologiques, chs. III/V. Act. Sci. Ind. 1229. Paris: Hermann & Cie 1955.

    Google Scholar 

  4. Carathéodory, C.: Stetige Konvergenz und normale Familien von Funktionen. Math. Ann.101, 515–533 (1929).

    Article  MathSciNet  MATH  Google Scholar 

  5. Cook, C. H., andH. R. Fischer: Uniform convergence structures. To be published.

  6. Fischer, H. R.: Limesräume. Math. Ann.137, 269–303 (1959).

    Article  MathSciNet  MATH  Google Scholar 

  7. Hahn, H.: Theorie der reellen Funktionen. Berlin 1921.

  8. Schaefer, H.: Stetige Konvergenz in allgemeinen topologischen Räumen. Arch. Math. VI, 423–427 (1955).

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This paper was prepared while the second author participated in a Summer Research Participation for College Teachers at the University of Oklahoma, sponsored by the National Science Foundation during the months June to August, 1963.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cook, C.H., Fischer, H.R. On equicontinuity and continuous convergence. Math. Ann. 159, 94–104 (1965). https://doi.org/10.1007/BF01360283

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01360283

Keywords

Navigation