Extensions of totally bounded pseudometrics
HTML articles powered by AMS MathViewer
- by R. A. Alò and H. L. Shapiro PDF
- Proc. Amer. Math. Soc. 19 (1968), 877-884 Request permission
References
- Richard Arens, Extension of functions on fully normal spaces, Pacific J. Math. 2 (1952), 11–22. MR 49543, DOI 10.2140/pjm.1952.2.11
- R. H. Bing, Extending a metric, Duke Math. J. 14 (1947), 511–519. MR 24609
- R. H. Bing, Metrization of topological spaces, Canad. J. Math. 3 (1951), 175–186. MR 43449, DOI 10.4153/cjm-1951-022-3 T. E. Gantner, Extensions of pseudometrics and uniformities, Thesis, Purdue Univ., Lafayette, Ind., 1966.
- Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0116199, DOI 10.1007/978-1-4615-7819-2 F. Hausdorff, Erweiterung einer Homoömorphie, Fund. Math. 16 (1930), 353-360.
- J. R. Isbell, Uniform spaces, Mathematical Surveys, No. 12, American Mathematical Society, Providence, R.I., 1964. MR 0170323, DOI 10.1090/surv/012
- Kiiti Morita, On the dimension of normal spaces. II, J. Math. Soc. Japan 2 (1950), 16–33. MR 39990, DOI 10.2969/jmsj/00210016
- K. Morita, Paracompactness and product spaces, Fund. Math. 50 (1961/62), 223–236. MR 132525, DOI 10.4064/fm-50-3-223-236
- H. L. Shapiro, Extensions of pseudometrics, Canadian J. Math. 18 (1966), 981–998. MR 206903, DOI 10.4153/CJM-1966-099-0
- John W. Tukey, Convergence and Uniformity in Topology, Annals of Mathematics Studies, No. 2, Princeton University Press, Princeton, N. J., 1940. MR 0002515
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 877-884
- MSC: Primary 54.35
- DOI: https://doi.org/10.1090/S0002-9939-1968-0232342-9
- MathSciNet review: 0232342