View source for 0708-1300/Covering Product

Think about an infinite product of copies of <math>S^1</math>. Even more, think about the possibility of this space having a universal covering space. At some point it is probably needed that <math>\mathbb{Z}^n\not\cong\mathbb{Z}^m</math>. It is interesting to produce a proof of this using the less knowledge you can. A possible idea is [[0708-1300/fact|here]].