Let \(f:M\to N\) be a covering map between closed connected nonempty manifolds. Suppose \(f\) is homotopic to a constant map. Prove that \(N\) is a point.
Question
Math 6510 • Differentiable Manifolds
Fall 2007 • Question 10
Question
Fall 2007 • Question 10
Let \(f:M\to N\) be a covering map between closed connected nonempty manifolds. Suppose \(f\) is homotopic to a constant map. Prove that \(N\) is a point.