Prove that \(\mathbb {R}P^3\) and \(\mathbb {R}P^2\vee S^3\) are not homotopy equivalent. (Hint: Cup products.)
Question
Math 6510 • Differentiable Manifolds
Fall 2001 • Question 13
Question
Fall 2001 • Question 13
Prove that \(\mathbb {R}P^3\) and \(\mathbb {R}P^2\vee S^3\) are not homotopy equivalent. (Hint: Cup products.)