Timeline for Homotopy section but no pointed homotopy section
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| Sep 16, 2021 at 18:43 | comment | added | Gregory Arone | If $p\circ s$ is freely homotopic to the identity then it is a weak homotopy equivalence, and therefore has a pointed homotopy inverse. Precomposing $s$ with this inverse will give you a pointed homotopy section. So it seems to me that what you are asking for is impossible. | |
| Sep 16, 2021 at 16:29 | comment | added | Tyrone | Let $B$ be the comb space with its bad basepoint, let $E=\ast$, and let $p$ be the inclusion of the basepoint. | |
| Sep 16, 2021 at 15:29 | history | asked | Mark Grant | CC BY-SA 4.0 |