Let \(c\) be a separating simple closed curve on a compact surface \(S\) without boundary. Show that \(S\) doesn’t retract onto \(c\).
Question
Math 6510 • Differentiable Manifolds
Winter 2006 • Question 11
Question
Winter 2006 • Question 11
Let \(c\) be a separating simple closed curve on a compact surface \(S\) without boundary. Show that \(S\) doesn’t retract onto \(c\).