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Geometric Obstructions in Finsler Spaces and Torsion-Free Persistent Homology (2512.22079v1)
Published 26 Dec 2025 in math.AT
Abstract: We relate the novel concept of Topological Data Analysis in Finsler space with representability property, which is a natural obstruction to prevent spurious features in high dimensions. We use decomposition of integer matrix in order to find suitable prime integer $p$ such that persistent homology module over $\mathbb{Z}_p$ encompasses only the holes associated to the free part, in agreement with the rational case.
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