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Chain complexes and homology¶

Sage includes some tools for algebraic topology, and in particular computing homology groups.

  • Chain complexes
  • Chains and cochains
  • Morphisms of chain complexes
  • Chain homotopies and chain contractions
  • Homspaces between chain complexes
  • Koszul Complexes
  • Hochschild Complexes
  • Homology Groups
  • Homology and cohomology with a basis
  • Algebraic topological model for a cell complex
  • Induced morphisms on homology
  • Utility Functions for Matrices
  • Interface to CHomP

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  • Chain complexes and homology
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