- TL;DR Summary
- I've never written down an explicit homotopy before which is part of the reason I'm so lost on this problem.
I understand that a homotopy is a continuous deformation. The only thing I really remember is something in my notes like this: F(s, 0) = a(s) for 0≤s≤1 and F(s, 1) = a * Id(s). Basically I have to construct some sort of piece-wise function such that I go something like two loops half of the time and stay in place at one point the other half of the time. Anyway, any help is greatly appreciated.