Timeline for Examples of non-metrizable spaces
Current License: CC BY-SA 2.5
22 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 23, 2019 at 22:25 | comment | added | Robert Furber | The weak topology on $E$ defined by a separating vector space of linear functionals $F \subseteq E^*$ is first-countable iff it is metrizable iff $F$ is of countable (Hamel) dimension. So we can get metrizability if "Banach" is relaxed to "normed". | |
| Mar 27, 2014 at 1:32 | answer | added | Samuel G. Silva | timeline score: 6 | |
| Mar 1, 2014 at 20:34 | answer | added | Ludolila | timeline score: 5 | |
| Jan 26, 2011 at 5:16 | answer | added | Not Mike | timeline score: 12 | |
| Jan 14, 2011 at 22:10 | vote | accept | Sudip Paul | ||
| S Jan 14, 2011 at 22:09 | vote | accept | Sudip Paul | ||
| Jan 14, 2011 at 22:10 | |||||
| Jan 14, 2011 at 22:09 | vote | accept | Sudip Paul | ||
| S Jan 14, 2011 at 22:09 | |||||
| Jan 14, 2011 at 17:55 | answer | added | Autumn Kent | timeline score: 8 | |
| Jan 14, 2011 at 14:50 | answer | added | Johannes Ebert | timeline score: 13 | |
| Jan 14, 2011 at 13:45 | answer | added | Jon Bannon | timeline score: 10 | |
| Jan 14, 2011 at 13:39 | answer | added | Matt Heath | timeline score: 4 | |
| Jan 14, 2011 at 12:49 | answer | added | HenrikRüping | timeline score: 6 | |
| Jan 14, 2011 at 10:20 | answer | added | Johannes Ebert | timeline score: 9 | |
| Jan 14, 2011 at 9:25 | answer | added | Thomas Rot | timeline score: 5 | |
| Jan 14, 2011 at 7:37 | answer | added | Rasmus | timeline score: 15 | |
| Jan 14, 2011 at 7:05 | comment | added | Theo Buehler | @Anthony: No, that's not true. It is true that the unit ball in $X^{\ast}$ is weak$^{\ast}$-metrizable if $X$ is separable, but this does by no means imply that the weak$^{\ast}$-topology on all of $X^{\ast}$ is metrizable. In fact, the weak$^{\ast}$-topology is not even first countable if $X$ is infinite-dimensional. | |
| Jan 14, 2011 at 7:02 | answer | added | Zen Harper | timeline score: 14 | |
| Jan 14, 2011 at 6:43 | history | made wiki | Post Made Community Wiki by Sudip Paul | ||
| Jan 14, 2011 at 6:16 | comment | added | Anthony Quas | As far as I know the w* topology on the dual is metrizable as long as $X$ is separable | |
| Jan 14, 2011 at 6:07 | answer | added | Nate Eldredge | timeline score: 30 | |
| Jan 14, 2011 at 5:31 | comment | added | Nate Eldredge | Have you had a look at Counterexamples in Topology? | |
| Jan 14, 2011 at 4:35 | history | asked | Sudip Paul | CC BY-SA 2.5 |