Partial Matchings Induced by Morphisms between Persistence Modules
Algebraic Topology
2023-02-13 v3 Computational Geometry
Abstract
We study how to obtain partial matchings using the block function , induced by a morphism between persistence modules. is defined algebraically and is linear with respect to direct sums of morphisms. We study some interesting properties of , and provide a way to obtain using matrix operations.
Cite
@article{arxiv.2107.04519,
title = {Partial Matchings Induced by Morphisms between Persistence Modules},
author = {R. Gonzalez-Diaz and M. Soriano-Trigueros and A. Torras-Casas},
journal= {arXiv preprint arXiv:2107.04519},
year = {2023}
}