most recent 30 from http://mathoverflow.net 2013-05-23T19:15:39Z http://mathoverflow.net/feeds/user/14595 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/38856/jokes-in-the-sense-of-littlewood-examples/64756#64756 unknown (google) 2011-05-12T07:12:13Z 2011-05-12T07:12:13Z

<p>If $\frac{8}{0}= \infty$, then $\frac{n}{0}= n^{'}$, where $n^{'}$ is $n$ rotated by 90 degrees on the right.</p>

http://mathoverflow.net/questions/62608/topologically-split-extensions-of-topological-groups unknown (google) 2011-04-22T09:34:30Z 2011-05-01T18:51:06Z

<p>Let $1 \to N \to G \to H \to 1$ be a short exact sequence of topological groups. Such an exact sequence is said to be topologically split if $G$ is $N \times H$ as a topological space.</p> <p>Can someone give me an example of a topologically split short exact sequence of non-discrete connected topological groups. Of course I want an example which is not a split exact sequence.</p> <p>Edit: By a split exact sequence of topological groups, I mean an exact sequence of topological groups admitting a continuous section which is also a homomorphism. In other words, $G$ is a semi-direct product of $N$ by $H$.</p>

http://mathoverflow.net/questions/62608/topologically-split-extensions-of-topological-groups/62643#62643 2011-04-23T04:45:33Z 2011-04-23T04:45:33Z

Yes Kevin. By non-discrete, I mean that none of the groups are allowed to be discrete. I have modified my original question by adding connectedness also. I apologize I should have written it while posting the question.

http://mathoverflow.net/questions/62608/topologically-split-extensions-of-topological-groups/62609#62609 2011-04-22T10:50:54Z 2011-04-22T10:50:54Z

I would appreciate very much if someone could provide some reference(s) for more examples as mentioned by Yemen.

http://mathoverflow.net/questions/62608/topologically-split-extensions-of-topological-groups 2011-04-22T10:48:56Z 2011-04-22T10:48:56Z

Thanks to all for your interest in the question. Yes, by split exact I meant that the exact sequence has a continuous section which is also a homomorphism.