English

On Level persistence (Relevant level persistence numbers)

Computational Geometry 2014-04-22 v2

Abstract

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.

Cite

@article{arxiv.1404.4312,
  title  = {On Level persistence (Relevant level persistence numbers)},
  author = {Dong Du},
  journal= {arXiv preprint arXiv:1404.4312},
  year   = {2014}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1210.3092; and text overlap with arXiv:1104.5646 by other authors

R2 v1 2026-06-22T03:52:26.026Z