Prove that \(\mathbb {R}P^3\) is not homotopy equivalent to \(\mathbb {R}P^2\vee S^3\).
Question
Math 6520 • Algebraic Topology
Summer 2022 • Question 5
Question
Summer 2022 • Question 5
Prove that \(\mathbb {R}P^3\) is not homotopy equivalent to \(\mathbb {R}P^2\vee S^3\).