Timeline for Working in coordinates with topologies on the algebra of continuous functions
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 2, 2017 at 18:55 | comment | added | Alex M. | @IgorKhavkine: A Schauder basis, of course. | |
| Dec 2, 2017 at 18:54 | comment | added | Alex M. | @NikWeaver: I know that $C_b (X)$ is separable in the uniform topology iff $X$ is a compact metric space, but please notice that I use other topologies than the uniform one. | |
| Dec 2, 2017 at 15:40 | comment | added | Nik Weaver | Can such a basis exist? I don't think $C_b(X)$ is ever separable unless $X$ is compact (and second countable). | |
| Dec 2, 2017 at 14:13 | comment | added | Igor Khavkine | What makes you think that there will be a countable basis? Or do you mean a "basis" in some topological sense, like a Schauder basis? | |
| Dec 2, 2017 at 9:55 | history | asked | Alex M. | CC BY-SA 3.0 |