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Article

Goto, Tatsuo
Dimension and $\varepsilon $-translations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 4, pp. 803-808
MSC: 54F45, 55M10 | MR 1440710 | Zbl 0886.55002
Keywords:
metric dimension; covering dimension; $\varepsilon $-translation; uniformly $0$-dimensional mappings
Summary:
Some theorems characterizing the metric and covering dimension of arbitrary subspaces in a Euclidean space will be obtained in terms of $\varepsilon $-translations; some of them were proved in our previous paper [G1] under the additional assumption of the boundedness of subspaces.
References:
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