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On zero-dimensionality of subgroups of locally compact groups

Authors
Publication Date
Source
Czech Digital Mathematics Library
Keywords
  • Keyword:Zero-Dimensionality
  • Keyword:Covering Dimension
  • Keyword:Inductive Dimension
  • Keyword:Subgroup
  • Keyword:Locally Compact Group
  • Msc:22A05
  • Msc:22D05
  • Msc:54D45
  • Msc:54F45
  • Msc:54H11
  • Msc:54H99
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Abstract

summary: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 $G$.

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