Year: 2026
Type: preprint
Abstract: We define an additive functor S that assigns a three parameter persistence module to every morphism between one parameter persistence modules. We show that if the morphism is bar-to-bar, then its image under S is rectangle decomposable. We prove that S is stable with respect to the interleaving distance and study further properties of the functor related to rectangle decompositions.
Source: arXiv (Cornell University)
Institution: University of Bergen
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Award: G4025565791
OpenAlex ID: W7222920031