How can I prove directly that a locally compact topological group G is normal? I have done this by showing that every locally compact topological group is strongly Paracompact. But I could not prove it directly.
Locally compact topological group is Normal
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0What do you mean by "normal group"? – 2012-01-14
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0@Davide I believe he means the topology is normal. – 2012-01-14
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0yes, I mean normal topological space. – 2012-01-15
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2Yes, as every locally compact topological group is a disjoint sum of $\sigma$-compact groups, and each of these is regular Lindelöf, hence normal, and a sum of normal spaces is normal. – 2012-01-15
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1I think hausdorffness is a necessary condition for group $G$. – 2013-01-13