| abstract_simplicial_complex | Compute Euler characteristic for an abstract simplicial complex |
| boundary | Compute the boundary operator for a simplicial complex |
| boundary_info | Get the boundary matrix and its reduction information in matrix form |
| build_vr_filtration | Vietoris-Rips Filtration: Get the boundary matrix and its reduction information in matrix form |
| euler_characteristic | Compute the Euler characteristic chi of a simplicial complex |
| extract_persistence_pairs | This function extracts the persistence from combining the boundary matrix and its filtration |
| faces | Generate all unique faces of a given dimension from simplices |
| plot_persistence | Plot Persistence Diagram |
| VietorisRipsComplex | Construct a Vietoris–Rips Complex (1-skeleton + maximal simplices) |