2 papers
math.AT2024
An axiomatic treatment of Persistent Homology
Sergio Tsuyoshi Ura, Marco Contessoto, Alice Kimie Miwa Libardi
We develop an axiomatic framework for persistent homology in any degree. We prove the existence and uniqueness for both a persistent version of the Eilenberg-Steenrod axioms for cl…
math.AT2021
Persistent Cup-Length
Marco Contessoto, Facundo Mémoli, Anastasios Stefanou +1
Cohomological ideas have recently been injected into persistent homology and have for example been used for accelerating the calculation of persistence diagrams by the software Rip…