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Under what conditions on topology of a given space $X$ it can be written as product space $Y\times Y$ for some other topological space $Y$. Lets call such space $Y$ a square root of X. Then given that square root of $X$ exists is it unique (within topological isomorphism) ?

  • 7
    http://mathoverflow.net/questions/60395/square-roots-of-mathbb-r2n is relevant.2012-07-10
  • 4
    http://math.stackexchange.com/questions/78055/decomposition-of-a-manifold también.2012-07-10

2 Answers 2