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Apr 26, 2013 at 14:18 comment added Gerald Edgar Pseudo-metrizable but not metrizable means not Hausdorff, right? In a topological group that is not Hausdorff, the closure of a single point is more than the point. And the closure of a subgroup is a subgroup.
Apr 22, 2013 at 18:27 comment added FelipeG Thanks for your comment. There is something I don't understand. Are you assuming the closure of the identity is not a single point? Is this is necessarily true?
Apr 21, 2013 at 19:05 history answered Gerald Edgar CC BY-SA 3.0