Timeline for When does an even-dimensional manifold fiber over an odd-dimensional manifold?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 5, 2013 at 4:11 | comment | added | JHM | It is also not unusual for the compactness assumption to be (incorrectly!) omitted in certain texts, e.g. Corollary 4.11 of Lawson's ``Quantitative theory of foliations". | |
| Dec 5, 2013 at 4:07 | comment | added | JHM | I only mention it because there is another question floating around MO, on whether or not $R^3-0$ can be foliated by $2$-tori. There appears some vague (and unjustified) comments that the existence of such a foliation requires the total space (an open $3$-mfld) to have $\chi=0$. I find the question interesting and trying to work it out for myself. | |
| Dec 5, 2013 at 3:44 | comment | added | Andy Putman | @J.Martel : Of course. | |
| Dec 5, 2013 at 1:23 | comment | added | JHM | compactness of $M$ is essential in establishing the converse (left as `easy' exercise). | |
| May 6, 2013 at 4:39 | vote | accept | Theo Johnson-Freyd | ||
| May 5, 2013 at 20:36 | history | answered | Andy Putman | CC BY-SA 3.0 |