Dimension and $\varepsilon $-translations
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 4, pp. 803-808
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
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.
Classification :
54F45, 55M10
Keywords: metric dimension; covering dimension; $\varepsilon $-translation; uniformly $0$-dimensional mappings
Keywords: metric dimension; covering dimension; $\varepsilon $-translation; uniformly $0$-dimensional mappings
@article{CMUC_1996__37_4_a11,
author = {Goto, Tatsuo},
title = {Dimension and $\varepsilon $-translations},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {803--808},
publisher = {mathdoc},
volume = {37},
number = {4},
year = {1996},
mrnumber = {1440710},
zbl = {0886.55002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1996__37_4_a11/}
}
Goto, Tatsuo. Dimension and $\varepsilon $-translations. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 4, pp. 803-808. http://geodesic.mathdoc.fr/item/CMUC_1996__37_4_a11/