Timeline for Continuous sections of the morphism ${GL}_{n}(A) \to {GL}_{n}(A/I)$, where A is a topological ring and I denotes a nilpotent ideal.
Current License: CC BY-SA 2.5
3 events
| when toggle format | what | by | license | comment | |
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| Oct 23, 2010 at 16:12 | comment | added | Andreas Thom | I do not know. I think that there are many results about continuous section of surjective homomorphisms between polish groups. Maybe you will find what you need there. | |
| Oct 23, 2010 at 15:05 | comment | added | Nic Palmero | When $n=1$, then the topology on A* = {GL}_{1}(A) is not necessarily the subspace topology (e.g. adeles/ideles). This was intentionally left ambiguous in the question. What would happen then? Your answer works when ${GL}_{n}(A)$ has the subspace topology from $M_n(A)$. | |
| Oct 22, 2010 at 12:47 | history | answered | Andreas Thom | CC BY-SA 2.5 |