someone has an example of that? I know that if G is a topological connectedness group ( operation continuous under the topology) then every neighborhood containing the identity elemental, generates the group, but i could not, find an example that it´s not true, if I don´t have the continuity ( i believe that it´s a necessary condition , but i don´t have an example ) the first example, arose from that, because in $\mathbb{R}$ it´s "familiar" I would be grateful for both examples
Thanks!
example of a discontinuous group operation in $\mathbb{R}$, under usual metric
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topological-groups
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0Would you mind if I changed the wording of this post? It's rather difficult to understand. – 2011-07-02
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0-1: please rewrite your question more carefully. For instance I do not understand the title at all. Please begin by carefully asking your question, independently of what you wrote in the title. – 2011-07-02