Timeline for When are these base spaces isomorphic?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Aug 10 at 8:29 | comment | added | Francesco Polizzi | @HenrikRüping: also in my example both fibre bundles are trivial. | |
| Aug 10 at 7:19 | comment | added | HenrikRüping | In many of these examples we can express a space as a fiber bundle in two ways, and one of the fiber bundles is not trivial. But even if both fiber bundles are trivial and they have the same fiber, there are still ways to obtain different base spaces. See for example mathoverflow.net/a/26404/3969. | |
| Aug 9 at 8:26 | answer | added | Francesco Polizzi | timeline score: 7 | |
| Aug 9 at 8:06 | answer | added | HenrikRüping | timeline score: 3 | |
| Aug 8 at 20:26 | history | became hot network question | |||
| Aug 8 at 20:13 | answer | added | Robert Bryant | timeline score: 17 | |
| Aug 8 at 12:56 | comment | added | Michael Albanese | Here's a silly example that you probably want to rule out: $\mathbb{Z}\times\{0,1\}$ is the total space of a fiber bundle over $\{0, 1\}$ (projection onto second factor), with fiber $\mathbb{Z}$, but also the total space of a fiber bundle over a point (constant map) with fiber $\mathbb{Z}\times\{0, 1\}$. The fibers are diffeomorphic, but the bases are not. | |
| Aug 8 at 12:16 | history | asked | Nicolas Medina Sanchez | CC BY-SA 4.0 |