Timeline for Does the compact-open topology retain topological groups?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 25, 2020 at 14:22 | comment | added | erz | check out section 2.6 in Narici, Beckenstein - Topological vector spaces | |
| May 25, 2020 at 11:48 | comment | added | David Roberts♦ | When $X$ is compactly-generated and Hausdorff, then $C(X,-)$ is right adjoint to $-\times X$, so preserves limits (possibly you need to restrict to $Y$ Hausdorff as well). Any functor that preserves limits sends group objects to group objects. If you are happy with not quite the compact-open topology, then you can just ask that $X$ is core-compact. See discussion at ncatlab.org/nlab/show/exponential+law+for+spaces | |
| May 25, 2020 at 11:00 | history | edited | YCor | CC BY-SA 4.0 |
added hypotheses and top-level tag
|
| May 25, 2020 at 10:56 | review | First posts | |||
| May 25, 2020 at 11:07 | |||||
| May 25, 2020 at 10:54 | history | asked | Eli Falk | CC BY-SA 4.0 |