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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 1994 • Question 14

Question

Math 6510 • Differentiable Manifolds Fall 1994 • Question 14

Find the singular homology \(H_*(S^5-(A\cup B),\mathbb {Z})\) where \(A\) is a homeomorph of \(S^2\), \(B\) a homeomorph of \(S^3\), and \(A\cap B=\{z_0\}\) is a single point.

Raw LaTeX

Find the singular homology \(H_*(S^5-(A\cup B),\mathbb{Z})\) where
\(A\) is a homeomorph of \(S^2\), \(B\) a homeomorph of \(S^3\), and
\(A\cap B=\{z_0\}\) is a single point.

Topic Tags

Cellular Homology Homology with Coefficients Relative Homology and Long Exact Sequences