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May 27, 2015 at 23:26 comment added Kevin Casto You can also generalize this to the case where X is an $n$-manifold and a $K(G,1)$ (or even just having nonzero homotopy groups only up to $n-1$), and $X \to S^n$ is the map that collapses everything outside a Euclidean ball to a point.
May 27, 2015 at 16:22 history edited Dylan Thurston CC BY-SA 3.0
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Apr 4, 2010 at 4:11 comment added Ying Zhang Nice! So this will give us examples when X and Y are both manifolds:)
Apr 4, 2010 at 4:03 history edited Dylan Thurston CC BY-SA 2.5
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Apr 4, 2010 at 3:57 history answered Dylan Thurston CC BY-SA 2.5