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 Incoming links: Simplicial cone

Past exam of the mathematics course of the University of Cambridge / 2021 / ii / Paper 3 / 20F / a / Solution Created 2026-09-24 Updated 2026-09-25

Triangulate

X

and adjoin one new vertex joined to every simplex; the resulting simplicial complex realizes the cone

CX

. The cone contracts to its apex, so

H_{0} (CX) ≅ Z, H_{i} (CX) = 0 (i > 0) .

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