Equivalent metrics giving different values to metric-dependent dimension functions
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- by J. C. Nichols
- Proc. Amer. Math. Soc. 23 (1969), 648-652
- DOI: https://doi.org/10.1090/S0002-9939-1969-0248780-5
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References
- 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. H. Roberts and F. G. Slaughter Jr., Metric dimension and equivalent metrics, Fund. Math. 62 (1968), 1–5. MR 225286, DOI 10.4064/fm-62-1-1-5
- 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
- Witold Hurewicz, Über Einbettung separabler Räume in gleichdimensionale kompakte Räume, Monatsh. Math. Phys. 37 (1930), no. 1, 199–208 (German). MR 1549788, DOI 10.1007/BF01696770
- 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
- J. H. Roberts, Realizability of metric-dependent dimensions, Proc. Amer. Math. Soc. 19 (1968), 1439–1442. MR 232364, DOI 10.1090/S0002-9939-1968-0232364-8 —, Dimension function ${d_2}$ and the covering dimension, Duke Math. J. (to appear).
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 23 (1969), 648-652
- MSC: Primary 54.70
- DOI: https://doi.org/10.1090/S0002-9939-1969-0248780-5
- MathSciNet review: 0248780