Degree of a map

1. Aug 21, 2008

wineesarne

Consider f: S1 -> S1: (cos 2 pi x, sin 2 pi x) -> (cos 2 k pi x, sin 2 k pi x).

How to show directly from the homological definition (without using Hurewicz etc) that degree(f) = k?

2. Aug 21, 2008