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Connection between uniform dimensions of a topological group and its factor group. (Russian) Zbl 0581.22005
Let G be a topological group and let H be a normal subgroup. There is proved the inequality \(\Delta\) dG\(\leq (\Delta dH+1)(\Delta dG/H+1)-1\), where \(\Delta\) d means either the uniform dimension of G or the dimension in the sense of Busashy. In the first case the left and the right uniform structures of G are required to coincide.
Reviewer: E.T.Ljubenova
MSC:
22A10 Analysis on general topological groups
54E15 Uniform structures and generalizations
54F45 Dimension theory in general topology
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