Timeline for When are principal bundles preserved by colimits?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 1, 2015 at 9:40 | comment | added | Tom | What if I impose the maps $E_i\rightarrow E_{i+1}$ to be (closed) inclusions? | |
| Apr 28, 2015 at 14:54 | comment | added | Tom Goodwillie | Modify the example so that $f_i$ and $g_i$ are given by $z\mapsto z^3$. The colimit of $B_i$ is a space in which every point is dense, so it cannot have a nontrivial covering space. | |
| Apr 28, 2015 at 8:18 | comment | added | Tom | Unfortunately, this does not answer my question, since $p\colon S^1\rightarrow S^1,z\mapsto z^2$ is not equivariant and hence $p$ not a $G$-bundle morphism. | |
| Apr 28, 2015 at 0:54 | history | answered | Jens Reinhold | CC BY-SA 3.0 |