Timeline for Non-continuous group homomorphism from p-adic field to C*
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 18, 2023 at 5:08 | vote | accept | Windi | ||
| Jul 15, 2023 at 20:04 | history | became hot network question | |||
| Jul 15, 2023 at 17:29 | comment | added | Emil Jeřábek | @KConrad Oh, you are right, I misread the question. | |
| Jul 15, 2023 at 17:28 | comment | added | YCor | It is easy to show that there are $2^c$ homomorphisms (but only $c$ continuous ones). On the other hand there is no way to "construct" an explicit non-continuous one. | |
| Jul 15, 2023 at 17:18 | comment | added | KConrad | @EmilJeřábek you are constructing homomorphisms on the additive group $F$, but the question is about homomorphisms on the multiplicative group $F^\times$, which is not a vector space, so your basis argument does not adapt to $F^\times$. | |
| Jul 15, 2023 at 17:15 | answer | added | KConrad | timeline score: 7 | |
| Jul 15, 2023 at 12:03 | history | asked | Windi | CC BY-SA 4.0 |