Timeline for Reference request: $\mathcal{C}^\infty_c(M)$ is a topological vector space with the Whitney topology
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 12, 2016 at 0:22 | answer | added | Pedro Lauridsen Ribeiro | timeline score: 2 | |
| Jul 8, 2015 at 18:15 | answer | added | Alexander Schmeding | timeline score: 3 | |
| Jul 8, 2015 at 15:44 | comment | added | Igor Khavkine | Not sure about a reference, but the proof is straight forward. Given $u(x)$ with compact support and $m(x) > 0$, we have $|u-(1+\varepsilon)(u+v)| < m$, provided $|v| < m/2$ and $|\varepsilon| < \min(1,\max(|u|/m)^{-1})$, which shows that multiplication is continuous at $(1,u)$. Rescale to get continuity at any $(k,u)$ and treat the case $k=0$ specially in a similar way. | |
| Jul 8, 2015 at 14:58 | review | First posts | |||
| Jul 8, 2015 at 15:06 | |||||
| Jul 8, 2015 at 14:55 | history | asked | WhitneyTopology | CC BY-SA 3.0 |