 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-3/20h/b/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

Identifying two points in a path-connected space is homotopy equivalent to adjoining a circle, so

X ≃ T^{2} \lor S^{1}

. Hence

H_{0} = Z

H_{1} = Z^{3}

H_{2} = Z

, and all higher homology vanishes.

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