Talk:Topological group

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Is it OK to say that 'Continuous group' is the same than 'Topological group' ??

looxix 23:30 Feb 23, 2003 (UTC)

Continuous group is an older term that possibly could also mean Lie group, so I would be careful. AxelBoldt 21:16 Mar 2, 2003 (UTC)

Although it is true that the left uniformity turns left multiplications into uniformly continuous maps, this is not a characterization of the left uniformity. In fact, the right uniformity also turns left multiplications into uniformly continuous maps. The important characteristic of the left uniformity is that it is invariant with respect to left translations. This is not mentioned on the page.