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# Cell complexes and their homology

Sage includes some tools for algebraic topology: from the algebraic side, chain complexes and their homology, and from the topological side, simplicial complexes, \(\Delta\)-complexes, and cubical complexes. A class of generic cell complexes is also available, mainly for developers who want to use it as a base for other types of cell complexes.

- Chain complexes
- Morphisms of chain complexes
- Homspaces between chain complexes
- Finite simplicial complexes
- Morphisms of simplicial complexes
- Homsets between simplicial complexes
- Examples of simplicial complexes
- Finite Delta-complexes
- Finite cubical complexes
- Generic cell complexes
- Koszul Complexes
- Homology Groups
- Utility Functions for Matrices
- Interface to CHomP

# Indices and Tables

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