Suppose that \(X\) is a topological space, \(A\subset X\) is a deformation retract which is path connected. Prove that \(X\) is path-connected as well.
Question
Math 6510 • Differentiable Manifolds
Fall 1995 • Question 2
Question
Fall 1995 • Question 2
Suppose that \(X\) is a topological space, \(A\subset X\) is a deformation retract which is path connected. Prove that \(X\) is path-connected as well.