Timeline for Homotopy of the complement of the Alexander Horned Ball
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 22, 2022 at 3:56 | comment | added | Charles Wang | Thanks! That was helpful. | |
| Oct 22, 2022 at 1:28 | review | Close votes | |||
| Oct 26, 2022 at 3:07 | |||||
| Oct 22, 2022 at 0:42 | comment | added | mme | I think it is plausible this question would get a better reception on MSE. I do not want to write details right now, but your questions have quick answers: (1) A presentation for the fundamental group is obtained here. (2) The complement is a smooth manifold, hence a CW complex, hence equivalent to your Kan complex. (3) If $C$ is any compact connected set in $S^3$, the manifold $S^3 - C$ is aspherical by the sphere theorem in 3-manifold topology + Hurewicz on the universal cover. (4) A weakly contractible manifold is contractible. | |
| Oct 21, 2022 at 23:42 | history | asked | Charles Wang | CC BY-SA 4.0 |