41 citations · 264 across the 40 of their papers we have counts for
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math.AT2019★ 2 cited
Persistent Homotopy Groups of Metric Spaces
Facundo Mémoli, Ling Zhou
We study notions of persistent homotopy groups of compact metric spaces together with their stability properties in the Gromov-Hausdorff sense. We pay particular attention to the c…
math.AT2019★ 3 cited
A Primer on Persistent Homology of Finite Metric Spaces
Facundo Memoli, Kritika Singhal
TDA (topological data analysis) is a relatively new area of research related to importing classical ideas from topology into the realm of data analysis. Under the umbrella term TDA…