A higher-dimensional homologically persistent skeleton
A higher-dimensional homologically persistent skeleton is a scholarly work, published in 2019 in ''Advances in Applied Mathematics''. The main subjects of the publication include simplicial complex, linear subspace, topological data analysis, Euclidean distance, Euclidean space, graph, metric space, connected-component labeling, Pairwise comparison, discrete mathematics, combinatorics, mathematics, diffusion-weighted magnetic resonance imaging, point cloud, and subspace topology. The authors generalize this skeleton to higher dimensions and prove its optimality among all complexes that preserve topological features of data at any scale.