True or false: There is no orientable smooth 3-dimensional manifold \(M\) and a smooth embedding \(\mathbb {R}P^2\to M\). Justify your answer.
Question
Math 6510 • Differentiable Manifolds
Fall 1997 • Question 5
Question
Fall 1997 • Question 5
True or false: There is no orientable smooth 3-dimensional manifold \(M\) and a smooth embedding \(\mathbb {R}P^2\to M\). Justify your answer.