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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

# Indices and Tables

- Index

- Module Index

- Search Page