Abstract:Some theorems characterizing the metric and covering dimension of arbitrary subspaces in a Euclidean space will be obtained in terms of $\varepsilon $-translations; some of them were proved in our previous paper [G1] under the additional assumption of the boundedness of subspaces.
Keywords: metric dimension, covering dimension, {$\varepsilon $}-translation, uniformly $0$-dimensional mappings
AMS Subject Classification: Primary 55M10