Let \(X=S(S^1\times S^1)\) be the suspension of the torus and \(Y=SX\) the suspension of \(X\). Show that \(X\) and \(Y\) aren’t manifolds.
Question
Math 6510 • Differentiable Manifolds
Fall 2004 • Question 18
Question
Fall 2004 • Question 18
Let \(X=S(S^1\times S^1)\) be the suspension of the torus and \(Y=SX\) the suspension of \(X\). Show that \(X\) and \(Y\) aren’t manifolds.