On Wikipedia I read that the topologies of $O(1)$ and $SO(1)$ to $SO(4)$ are known topological spaces.
What about $O(n), SO(n), U(n)$ when $n>4$?
Asked
Active
Viewed 27 times
0
-
Well, that depends on what you mean by "known." I more or less answer this question for the orthogonal groups here: http://math.stackexchange.com/questions/902552/what-does-gl-nr-look-like – Qiaochu Yuan Dec 06 '14 at 06:17
-
@QiaochuYuan I'll have to study your answer but a brief glimpse suggests it's what I'm asking. – learner Dec 06 '14 at 07:06