Partial matchings induced by morphisms between persistence modules

We study how to obtain partial matchings using the block function Mf, induced by a morphism f between persistence modules.M f is defined algebraically and is linear with respect to direct sums of morphisms. We study some interesting properties of Mf, and provide a way of obtaining Mf using matrix operations. (c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).