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Characterizations of metric-dependent dimension functions. (English) Zbl 0169.25103


Keywords:

topology
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[1] V. I. Egorov, Metric dimension of point sets, Mat. Sb. (N.S.) 48 (90) (1959), 227 – 250 (Russian). · Zbl 0088.15104
[2] Richard E. Hodel, Note on metric-dependent dimension functions, Fund. Math. 61 (1967), 83 – 89. · Zbl 0153.52801
[3] Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, v. 4, Princeton University Press, Princeton, N. J., 1941. · Zbl 0060.39808
[4] Miroslav Katětov, On the relation between the metric and topological dimension, Czechoslovak Math. J 8 (83) (1958), 163 – 166 (Russian, with English summary). · Zbl 0083.17605
[5] Kiichi Morita, On the dimension of normal spaces. I, Jap. J. Math. 20 (1950), 5 – 36. · Zbl 0041.31704
[6] Kiiti Morita, On the dimension of normal spaces. II, J. Math. Soc. Japan 2 (1950), 16 – 33. · Zbl 0041.31704 · doi:10.2969/jmsj/00210016
[7] Keiô Nagami and J. H. Roberts, A study of metric-dependent dimension functions, Trans. Amer. Math. Soc. 129 (1967), 414 – 435. · Zbl 0153.52704
[8] J. Nagata, Modern dimension theory, Interscience, New York, 1965. · Zbl 0129.38304
[9] J. B. Wilkinson, Covering dimension and metric-dependent dimension functions, Ph.D. dissertation, Duke University, Durham, N.C., 1966.
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