Let \(M\) and \(N\) be two connected smooth manifolds. Show that \(M\times N\) is orientable if and only if both \(M\) and \(N\) are orientable.
Question
Math 6510 • Differentiable Manifolds
Fall 1999 • Question 20
Question
Fall 1999 • Question 20
Let \(M\) and \(N\) be two connected smooth manifolds. Show that \(M\times N\) is orientable if and only if both \(M\) and \(N\) are orientable.