- TL;DR Summary
- A problem from a topology class I took but never really understood
Here is what the problem looks like. The thing is I don't remember what π1is exactly and I don't really know much group theory or know what equivalence classes are. I remember learning some group theory fact that f*(n) = n*f*(1). So, I think (a) was just equal to m since f(1) = 1 and (b) was equal to -m. Anyway, I'd like to know if my answers to (a) and (b) are correct. And if I could get an explanation on how to even do (c) through (f). Thank you very much.