# Persistence Partial Matchings Induced by Morphisms between Persistence Modules

@article{GonzlezDaz2021PersistencePM, title={Persistence Partial Matchings Induced by Morphisms between Persistence Modules}, author={Roc{\'i}o Gonz{\'a}lez-D{\'i}az and M. Soriano-Trigueros}, journal={ArXiv}, year={2021}, volume={abs/2107.04519} }

The notion of persistence partial matching, as a generalization of partial matchings between persistence modules, is introduced. We study how to obtain a persistence partial matching Gf , and a partial matching Mf , induced by a morphism f between persistence modules, both being linear with respect to direct sums of morphisms. Some of their properties are also provided, including their stability after a perturbation of the morphism f , and their relationship with other induced partial matchings… Expand

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