Suppose \(p:\widetilde {X}\to X\) is a covering map. Prove that \(p\) is null homotopic if and only if \(\widetilde {X}\) is contractible.
Question
Math 6510 • Differentiable Manifolds
Fall 2005 • Question 9
Question
Fall 2005 • Question 9
Suppose \(p:\widetilde {X}\to X\) is a covering map. Prove that \(p\) is null homotopic if and only if \(\widetilde {X}\) is contractible.