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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Spring 2016 • Question 11

Question

Math 6510 • Differentiable Manifolds Spring 2016 • Question 11

Let \(SX\) be the suspension of \(X\). Show that \(\operatorname {H}_n(SX)\cong \operatorname {H}_{n-1}(X)\) for all \(n\).

Raw LaTeX

Let \(SX\) be the suspension of \(X\). Show that
\(\HH_n(SX)\cong\HH_{n-1}(X)\) for all \(n\).

Topic Tags

Homology with Coefficients