Timeline for Sections of topological group extensions
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 3, 2011 at 3:36 | vote | accept | gurs | ||
| Jan 1, 2011 at 8:43 | vote | accept | gurs | ||
| Jan 1, 2011 at 8:43 | |||||
| Dec 31, 2010 at 18:54 | comment | added | Theo Buehler | @Anton: yes, gurs wanted in addition $s(x^{-1}) = s(x)^{-1}$ and this doesn't work with $2$. I agree that it would be nice to have a finite-dimensional connected (and compact) example, but I cannot come up with one right now. | |
| Dec 31, 2010 at 18:40 | comment | added | Anton Geraschenko | @gurs: You can tweak the discrete example to be finite (and thus compact), 0 → 3ℤ/9ℤ → ℤ/9ℤ → ℤ/3ℤ → 0. Perhaps you want and example where $E$ is connected (and compact?). @Theo: Is there some reason to use 3 instead of 2, as Laurent did? | |
| Dec 31, 2010 at 18:21 | comment | added | Theo Buehler | Thanks, Anton. @gurs: no, there is no example involving finite-dimensional Banach spaces because for such spaces all linear maps are continuous. If you want compact groups, try finite groups first, that shouldn't be too hard. | |
| Dec 31, 2010 at 18:16 | comment | added | Anton Geraschenko | gurs says (moved from an answer): Dear Theo Buehler, many thanks for the example. Can someone give an example in the setting of compact topological groups or in the setting of finite dimensional Banach spaces. | |
| Dec 24, 2010 at 12:07 | history | edited | Theo Buehler | CC BY-SA 2.5 |
Added a trivial example
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| Dec 24, 2010 at 9:54 | history | answered | Theo Buehler | CC BY-SA 2.5 |