Let \(M\) be an orientable manifold of dimension \(n\). Prove that the top dimensional de Rham cohomology with compact supports \(H_c^n(m)\) is nontrivial.
Question
Math 6510 • Differentiable Manifolds
Spring 2008 • Question 6
Question
Spring 2008 • Question 6
Let \(M\) be an orientable manifold of dimension \(n\). Prove that the top dimensional de Rham cohomology with compact supports \(H_c^n(m)\) is nontrivial.