Difference between revisions of "0708-1300/Covering Product"

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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]].
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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> for <math>n\neq 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]].

Latest revision as of 16:16, 18 February 2008

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