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arXiv · 2512.22079

Geometric Obstructions in Finsler Spaces and Torsion-Free Persistent Homology

Rafael Cavalcanti
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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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Rafael Cavalcanti. 2025-12-26. Geometric Obstructions in Finsler Spaces and Torsion-Free Persistent Homology. https://arxiv.org/abs/2512.22079

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