Let \(M\) be a smooth, orientable \(n\)-dimensional manifold. Prove that the \(n\) dimensional DeRham cohomology with compact supports, \(H_c^n(M)\) is nonzero.
Question
Math 6510 • Differentiable Manifolds
Fall 2000 • Question 2
Question
Fall 2000 • Question 2
Let \(M\) be a smooth, orientable \(n\)-dimensional manifold. Prove that the \(n\) dimensional DeRham cohomology with compact supports, \(H_c^n(M)\) is nonzero.