SimplicialComplex: Topological Data Analysis: Simplicial Complex

Provides an implementation of simplicial complexes for Topological Data Analysis (TDA). The package includes functions to compute faces, boundary operators, Betti numbers, Euler characteristic, and to construct simplicial complexes, including Vietoris-Rips, Cech, Alpha, Delaunay, Witness, flood, and (via a Freudenthal triangulation) cubical complexes for grid and image data. It also implements persistent homology, from building filtrations (via a single build_filtration() entry point covering all of the above) to computing persistence diagrams, persistence landscapes, and Wasserstein/bottleneck distances between diagrams, with the aim of helping readers understand the core concepts of computational topology. Methods are based on standard references in persistent homology such as Zomorodian and Carlsson (2005) <doi:10.1007/s00454-004-1146-y>, Chazal and Michel (2021) <doi:10.3389/frai.2021.667963>, and Otter, Porter, Tillmann, Grindrod and Harrington (2017) <doi:10.1140/epjds/s13688-017-0109-5>.

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