2 papers
math.AT2026
Interval Decomposition of Infinite Persistence Modules over a Principal Ideal Domain and Field Choice in Persistent Homology
Jiajie Luo, Gregory Henselman-Petrusek
We study pointwise free and finitely-generated persistence modules over a principal ideal domain, indexed by a (possibly infinite) totally-ordered poset category. We show that such…
math.AT2025
Interval Decomposition of Persistence Modules over a Principal Ideal Domain
Jiajie Luo, Gregory Henselman-Petrusek
The study of persistent homology has contributed new insights and perspectives into a variety of interesting problems in science and engineering. Work in this domain relies on the…