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Extending continuous functions on zero-dimensional spaces

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References

  1. Arens, R.: Extensions of functions on fully normal spaces. Pacific J. Math.2, 11–22 (1952).

    Google Scholar 

  2. Bourbaki, N.: Topologie générale. Chaps. 1–2. Actualités Scientifiques et Industrielles no. 1142. Paris: Hermann 1961.

    Google Scholar 

  3. —— Topologie générale. Chap. IX. Actualités Scientifiques et Industrielles no. 1045. Paris: Hermann 1957.

    Google Scholar 

  4. Dieudonné, J.: Une généralisation des espaces compacts. J. Math. Pure Appl.23, 65–76 (1944).

    Google Scholar 

  5. Dowker, C.: On a theorem of Hanner. Ark. Mat.2, 307–313 (1952).

    Google Scholar 

  6. Dugundji, J.: A generalization of Tietze's theorem. Pacific J. Math.1, 353–367 (1951).

    Google Scholar 

  7. Ellis, R.: A non-Archimedean analogue of the Tietze-Urysohn extension theorem. Indag. Math.29, 332–333 (1967).

    Google Scholar 

  8. Gantner, T.: Some corollaries to the metrization lemma. Amer. Math. Monthly76, 45–47 (1969).

    Google Scholar 

  9. Hausdorff, F.: Erweiterung einer stetigen Abbildung. Fundamenta Math.30, 40–47 (1938).

    Google Scholar 

  10. Katětov, M.: On real valued functions in topological spaces. Fundamenta Math.38, 85–91 (1951).

    Google Scholar 

  11. —— Correction to On real valued functions in topological spaces. Fundamenta Math.40, 203–205 (1953).

    Google Scholar 

  12. Monna, A.: Remarques sur les métriques non-archimédiennes I. Indag. Math.12, 470–481 (1950).

    Google Scholar 

  13. Nagata, J.: Modern dimension theory. New York: Interscience 1965.

    Google Scholar 

  14. Ponomarev, V.: On paracompact spaces and their continuous mappings. Doklady143, 46–49 (1962).

    Google Scholar 

  15. Shapiro, H.: A note on extending uniformly continuous pseudometrics. Bull. Soc. Math. Belg.18, 439–441 (1966).

    Google Scholar 

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  1. Department of Mathematics, University of Maryland, 20742, College Park, Md., USA

    Robert L. Ellis

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  1. Robert L. Ellis
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Ellis, R.L. Extending continuous functions on zero-dimensional spaces. Math. Ann. 186, 114–122 (1970). https://doi.org/10.1007/BF01350686

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