Counting Barcodes with the same Betti Curve

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Henry R. Ashley, Håvard Bakke Bjerkevik, Justin Michael Curry, Riley A. Decker, Robert Green
DOI: 10.48550/arxiv.2602.09011
Cited by: 0

Abstract

This paper considers an important inverse problem in topological data analysis (TDA): How many different barcodes produce the same Betti curve? Equivalently, given a function $β\colon [n]=\{1

Fields of Study & Subjects

Topological and Geometric Data Analysis Advanced Combinatorial Mathematics Homotopy and Cohomology in Algebraic Topology

Publication details

Journal / source
arXiv (Cornell University)
Publication date
9 February 2026
Language
EN
Document type
Preprint