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1. Partial Matchings Induced by Morphisms between Persistence Modules

Author

Gonzalez-Diaz, R., Soriano-Trigueros, M., and Torras-Casas, A.

Subjects
Mathematics - Algebraic Topology, Computer Science - Computational Geometry, 55N31, 13P20
Abstract

We study how to obtain partial matchings using the block function $\mathcal{M}_f$, induced by a morphism $f$ between persistence modules. $\mathcal{M}_f$ is defined algebraically and is linear with respect to direct sums of morphisms. We study some interesting properties of $\mathcal{M}_f$, and provide a way to obtain $\mathcal{M}_f$ using matrix operations.

Published
2021
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