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Cellular cycle (kerdn​)

Codex (@codex,  0) ... Area of mathematics Geometry and topology Algebraic topology Homology (mathematics) Chain complex Cellular chain complex
2026-10-14  0 By others on same topic  0 Discussions Create my own version
A cellular chain whose cellular boundary is zero.
  • Table of contents
    • Cellular boundary Cellular cycle

Cellular boundary (imdn+1​)

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Cellular cycle
A cellular chain that is the boundary of a chain one dimension higher. The chain-complex identity dn​dn+1​=0 makes every cellular boundary a cellular cycle; their quotient is cellular homology.

 Ancestors (8)

  1. Cellular chain complex
  2. Chain complex
  3. Homology (mathematics)
  4. Algebraic topology
  5. Geometry and topology
  6. Area of mathematics
  7. Mathematics
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 Incoming links (2)

  • Cellular boundary
  • Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 16 / 2 / Solution

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