The rank invariant stability via interleavings
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Abstract (arXiv)
A lower bound for the interleaving distance on persistence vector spaces is given in terms of rank invariants. This offers an alternative proof of the stability of rank invariants.
Key facts. Cited by 4 papers in the map (data through 14 Oct 2026). First posted on arXiv 10 Dec 2014.
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Citing papers per year: 2023: 2; 2024: 0; 2025: 0; 2026: 2.
4 papers.
- 2023A Framework for Fast and Stable Representations of Multiparameter Persistent Homology Decompositionscited by 7
- 2023Stability for Inference with Persistent Homology Rank Functionscited by 1
- 2026ToMAToMP: Robust and Multi-Parameter Topological Clusteringcited by 0
- 2026COMPLEX: A Closed-Form Certified Embedding of Multiparameter Persistence Modulescited by 0
- 2026COMPLEX: A Closed-Form Certified Embedding of Multiparameter Persistence Modules18 Sep 2026
- 2026ToMAToMP: Robust and Multi-Parameter Topological Clustering14 May 2026
- 2023Stability for Inference with Persistent Homology Rank Functions6 Jul 2023
- 2023A Framework for Fast and Stable Representations of Multiparameter Persistent Homology Decompositions19 Jun 2023