API reference

Simplicial complexes

• SimplicialComplex: An abstract topological space
  • Adding simplices
  • Simplex attributes
  • Deleting simplices
  • Relabelling simplices
  • Copying and equality
  • Querying the structure of the complex
  • Retrieving simplices
  • Sub-complexes
  • Global properties
  • Homology
  • Deriving new complexes
  • Composing complexes
  • Representation
  • Use of exceptions
• Filtration: A filtered sequence of complexes
  • Building the filtration
  • Copying the filtration
  • Accessing the filtration
• EulerIntegrator: Euler characteristic integration

Generator functions

Saving and loading simplicial complexes

Embeddings

• Embedding: Embedding an abstract complex into space
  • Basic properties of the embedding space
  • Positioning simplices
  • Dict-like interface
  • Spatial constructions
• TriangularLattice: A 2D triangulation of a plane
  • Embedding the lattice

Drawing simplicial complexes

Representations

• Representation: The reference implementation of complexes
  • Complex
  • Adding and deleting simplices
  • Retrieving simplices
  • Details of individual simplices
  • Topological information
• ReferenceRepresentation: The reference implementation of complexes
  • Complex
  • Adding and deleting simplices
  • Retrieving simplices
  • Details of individual simplices
  • Topological information
  • Optimised versions of core methods