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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…
math.AT2021
Curvature Sets Over Persistence Diagrams
Mario Gómez, Facundo Mémoli
We study a family of invariants of compact metric spaces that combines the Curvature Sets defined by Gromov in the 1980s with Vietoris-Rips Persistent Homology. For given integers…