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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Spring 2008 • Question 8

Question

Math 6510 • Differentiable Manifolds Spring 2008 • Question 8

Compute \(H_i(S^n-X)\) when \(X\) is a subspace of \(S^n\) homeomorphic to \(S^p\vee S^q\vee S^r\) with \(p,q,r\in \{1,2,\ldots ,n-1\}\) and \(p\ne q\ne r\ne p\).

Raw LaTeX

Compute \(H_i(S^n-X)\) when \(X\) is a subspace of \(S^n\) homeomorphic to
\(S^p\vee S^q\vee S^r\) with \(p,q,r\in\{1,2,\ldots,n-1\}\) and \(p\ne q\ne r\ne p\).

Topic Tags

Homology with Coefficients Smooth Manifolds and Embedded Submanifolds