2014/04/16 by Dong Du, Dong Xing Du, Du, Dong
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Computational Geometry (cs.CG) #FOS: Computer and information sciences #Genomics and Chromatin Dynamics #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #cs.CG
paper · pdf · doi:10.48550/arxiv.1404.4312
arXiv admin note: substantial text overlap with arXiv:1210.3092; and text overlap with arXiv:1104.5646 by other authors
openalex publication_date 2014/04/16 · arxiv created 2014/04/20 · arxiv updated 2014/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The purpose of this note is to describe of a new set of numerical invariants, the relevant level persistence numbers, and make explicit their relationship with the four types of bar codes, a more familiar set of complete invariants for level persistence. The paper provides the opportunity to compare level persistence with the persistence introduced by Edelsbrunner- Letscher-Zomorodian called in this paper, as sub-level persistence.