English

Finite presentation of finitely determined modules

Algebraic Topology 2023-01-23 v1 Commutative Algebra

Abstract

In this article we study certain notions of `tameness' for the persistence modules studied in topological data analysis. In particular, we show that after adding infinitary points the so called finitely determined modules become finitely presented.

Keywords

Cite

@article{arxiv.2301.08538,
  title  = {Finite presentation of finitely determined modules},
  author = {Eero Hyry and Markus Klemetti},
  journal= {arXiv preprint arXiv:2301.08538},
  year   = {2023}
}
R2 v1 2026-06-28T08:16:08.893Z