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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6520 • Algebraic Topology

Summer 2021 • Question 5

Question

Math 6520 • Algebraic Topology Summer 2021 • Question 5

Let \(M\) be a closed connected 5-manifold such that \(H_1(M)\cong \mathbb {Z}/3\) and \(H_2(M)\cong \mathbb {Z}\). Compute \(H_i(M)\) for all \(i\).

Raw LaTeX

Let \(M\) be a closed connected 5-manifold such that \(H_1(M)\cong\mathbb{Z}/3\) and
\(H_2(M)\cong\mathbb{Z}\). Compute \(H_i(M)\) for all \(i\).

Topic Tags

Fundamental Groups Homology with Coefficients