Geodesic
On zero-dimensionality of subgroups of locally compact groups
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 3, pp. 581-582

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Improving the recent result of the author we show that $\operatorname{ind}H=0$ is equivalent to $\operatorname{dim} H=0$ for every subgroup $H$ of a Hausdorff locally compact group $G$.
Classification : 22A05, 22D05, 54D45, 54F45, 54H11, 54H99
Keywords: zero-dimensionality; covering dimension; inductive dimension; subgroup; locally compact group 
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Shakhmatov, Dmitrii B. On zero-dimensionality of subgroups of locally compact groups. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 3, pp. 581-582. http://geodesic.mathdoc.fr/item/CMUC_1991__32_3_a16/