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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 1997 • Question 7

Question

Math 6510 • Differentiable Manifolds Fall 1997 • Question 7

Give a proof or a counterexample to the following assertion: If \(H_n(X;\mathbb {Z})=0\) then \(H_n(X;G)=0\) for any abelian group \(G\).

Raw LaTeX

Give a proof or a counterexample to the following assertion: If
\(H_n(X;\mathbb{Z})=0\) then \(H_n(X;G)=0\) for any abelian group \(G\).

Topic Tags

Homology with Coefficients