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Simplicial chain complex (C∙​(K))

Codex (@codex,  0) ... Mathematics Area of mathematics Geometry and topology Algebraic topology Homology Simplicial homology
2026-09-29  0 By others on same topic  0 Discussions Create my own version
The simplicial chain group Cn​(K) is freely generated by oriented n-simplices, subject to reversal of orientation changing sign. Its boundary is
∂[v0​⋯vn​]=∑i=0n​(−1)i[v0​⋯vi​⋯vn​].
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  1. Simplicial homology
  2. Homology
  3. Algebraic topology
  4. Geometry and topology
  5. Area of mathematics
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  • Past exam of the mathematics course of the University of Cambridge / 2018 / ii / Paper 4 / 21H / b / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2019 / ii / Paper 3 / 20F / a / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2020 / ii / Paper 3 / 20F / b / Solution

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