Timeline for unipotent group and translation invariant metric
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 4, 2011 at 6:19 | vote | accept | ronggang | ||
| May 3, 2011 at 21:30 | comment | added | Theo Buehler | Thank you very much! I need a little time to think about the construction a bit, but it looks quite nice. | |
| May 3, 2011 at 21:07 | comment | added | Alain Valette | Indeed in the OP I interpreted "relative compact" as wrt the original compact. On the other hand I may direct you to a paper by Haagerup and Przybyszewska arxiv.org/pdf/math/0606794 I copy the beginning of the abstract: "In this article it is proved, that every locally compact, second countable group has a left invariant metric $d$, which generates the topology on $G$, and which is proper, ie. every closed $d$-bounded set in $G$ is compact." | |
| May 3, 2011 at 17:31 | comment | added | Theo Buehler | Sorry, I'm a bit confused: The word metric as I understand it induces the discrete topology, but its balls are compact with respect to the original topology, right? So what do you do if you want a proper metric inducing the original topology? Is there an easy trick using convolutions? | |
| May 3, 2011 at 15:13 | history | answered | Alain Valette | CC BY-SA 3.0 |