2 papers
math.AT2026
Counting Barcodes with the same Betti Curve
Henry Ashley, HÃ¥vard Bakke Bjerkevik, Justin Curry +2
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\c…
math.CO2025
The Topological Structures of the Orders of Hypergraphs
Robert E. Green, Cliff A. Joslyn, Audun Myers +2
We provide first a categorical exploration of, and then completion of the mapping of the relationships among, three fundamental perspectives on binary relations: as the incidence m…