Let \(X\) be a connected cell complex and \(f:\mathbb {R}P^{2n}\to X\) a covering map from the real projective space of dimension \(2n\). Show that \(f\) is a homeo- morphism.
Question
Math 6520 • Algebraic Topology
Fall 2020 • Question 1
Question
Fall 2020 • Question 1
Let \(X\) be a connected cell complex and \(f:\mathbb {R}P^{2n}\to X\) a covering map from the real projective space of dimension \(2n\). Show that \(f\) is a homeo- morphism.