Timeline for If a topological space has vanishing $n$th homology for every possible homology theory, does it have vanishing $n$th homotopy?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 20, 2015 at 16:22 | comment | added | Eric Peterson | Do you get a positive answer if you also require twisted ordinary homology to vanish? | |
| Jun 19, 2015 at 21:23 | vote | accept | Harrison Smith | ||
| Jun 19, 2015 at 21:23 | vote | accept | Harrison Smith | ||
| Jun 19, 2015 at 21:23 | |||||
| Jun 19, 2015 at 21:23 | comment | added | Qfwfq | See also: mathoverflow.net/questions/57132/… | |
| Jun 19, 2015 at 21:12 | answer | added | Dylan Wilson | timeline score: 10 | |
| Jun 19, 2015 at 20:23 | comment | added | Alex Degtyarev | This is very unlikely: a punctured homology $3$-sphere would have all homology group (including extraordinary, I think) isomorphic to those of a point, but still a nontrivial $\pi_1$. And this is a finite polyhedron. | |
| Jun 19, 2015 at 20:04 | history | asked | Harrison Smith | CC BY-SA 3.0 |