Dmitrii B. Shakhmatov
On zero-dimensionality of subgroups of locally compact groups

Comment.Math.Univ.Carolinae 32,3 (1991) 581-582.

Abstract:Improving the recent result of the author we show that $indH=0$ is equivalent to $dim H=0$ for every subgroup $H$ of a Hausdorff locally compact group $G$.

Keywords: zero-dimensionality, covering dimension, inductive dimension, subgroup, locally compact group
AMS Subject Classification: Primary 22A05, 22D05, 54F45; Secondary 54D45, 54H99

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