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math.AT2026
L-fuzzy simplicial homology
Javier Perera-Lago, Alvaro Torras-Casas, Rocio Gonzalez-Diaz
Simplicial homology is a classical tool that assigns a sequence of modules to a simplicial complex, providing invariants for the study of its topological properties. In this articl…
math.AT2025★ 1 cited
The Induced Matching Distance: A Novel Topological Metric with Applications in Robotics
Javier Perera-Lago, Álvaro Torras-Casas, Jérôme Guzzi +1
This paper introduces the induced matching distance, a novel topological metric designed to compare discrete structures represented by a symmetric non-negative function. We apply t…