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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Spring 2018 • Question 12

Question

Math 6510 • Differentiable Manifolds Spring 2018 • Question 12

Prove \(H_c^k(\mathbb {R}^n)\) equals \(\mathbb {Z}\) if \(k=n\) and \(0\) if \(k\ne n\).

Raw LaTeX

Prove \(H_c^k(\R^n)\) equals \(\Z\) if \(k=n\) and \(0\) if \(k\ne n\).

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