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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Spring 2013 • Question 12

Question

Math 6510 • Differentiable Manifolds Spring 2013 • Question 12

Let \(X=S^1\times [0,1]\) and \(\partial X=S^1\times \{0,1\}\). Compute \(H_i(X,\partial X;\mathbb {Z})\) for all \(i\).

Raw LaTeX

Let \(X=S^1\times[0,1]\) and \(\partial X=S^1\times\{0,1\}\). Compute
\(H_i(X,\partial X;\Z)\) for all \(i\).

Topic Tags

Homology with Coefficients