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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 2010 • Question 13

Question

Math 6510 • Differentiable Manifolds Fall 2010 • Question 13

Let \(X\) be the space obtained from two \(n\)-spheres by identifying them along their equatorial \((n-1)\)-spheres. Using any method you like compute \(H_i(X)\) for all \(i\). State any theorems you are using (e.g. Mayer-Vietoris).

Raw LaTeX

Let \(X\) be the space obtained from two \(n\)-spheres by identifying them along
their equatorial \((n-1)\)-spheres. Using any method you like compute \(H_i(X)\) for
all \(i\). State any theorems you are using (e.g. Mayer-Vietoris).

Topic Tags

Homology with Coefficients Mayer-Vietoris Sequences