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, -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
• Interface to CHomP