4 ms·
Yes, R^3 and the rotation group SO(3) are not homeomorphic (they have different topologies), meaning you can not cover SO(3) with a single chart. So any represe
by chombier 10y ago
Yes, R^3 and the rotation group SO(3) are not homeomorphic (they have different topologies), meaning you can not cover SO(3) with a single chart. So any representation of rotations by 3 numbers is singular somewhere.