Characterizations of metric-dependent dimension functions
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- by James C. Smith PDF
- Proc. Amer. Math. Soc. 19 (1968), 1264-1269 Request permission
References
- V. I. Egorov, Metric dimension of point sets, Mat. Sb. (N.S.) 48 (90) (1959), 227–250 (Russian). MR 0125563
- Richard E. Hodel, Note on metric-dependent dimension functions, Fund. Math. 61 (1967), 83–89. MR 220260, DOI 10.4064/fm-61-1-83-89
- Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, vol. 4, Princeton University Press, Princeton, N. J., 1941. MR 0006493
- Miroslav Katětov, On the relation between the metric and topological dimension, Czechoslovak Math. J. 8(83) (1958), 163–166 (Russian, with English summary). MR 105084
- Kiichi Morita, On the dimension of normal spaces. I, Jpn. J. Math. 20 (1950), 5–36. MR 45374, DOI 10.4099/jjm1924.20.0_{5}
- Kiiti Morita, On the dimension of normal spaces. II, J. Math. Soc. Japan 2 (1950), 16–33. MR 39990, DOI 10.2969/jmsj/00210016
- Keiô Nagami and J. H. Roberts, A study of metric-dependent dimension functions, Trans. Amer. Math. Soc. 129 (1967), 414–435. MR 215289, DOI 10.1090/S0002-9947-1967-0215289-7 J. Nagata, Modern dimension theory, Interscience, New York, 1965. J. B. Wilkinson, Covering dimension and metric-dependent dimension functions, Ph.D. dissertation, Duke University, Durham, N.C., 1966.
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 1264-1269
- MSC: Primary 54.70
- DOI: https://doi.org/10.1090/S0002-9939-1968-0232365-X
- MathSciNet review: 0232365