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math.AT2023
Meta-Diagrams for 2-Parameter Persistence
Nate Clause, Tamal K. Dey, Facundo Mémoli +1
We first introduce the notion of meta-rank for a 2-parameter persistence module, an invariant that captures the information behind images of morphisms between 1D slices of the modu…
math.AT2017
New families of simplicial filtration functors
Samir Chowdhury, Nathaniel Clause, Facundo Memoli +2
The so called Čech and Vietoris-Rips simplicial filtrations are designed to capture information about the topological structure of metric datasets. These filtrations are two of the…