76 citations · 213 across the 18 of their papers we have counts for
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math.AT2016★ 8 cited
Classification of Constructible Cosheaves
Justin Curry, Amit Patel
In this paper we prove an equivalence theorem originally observed by Robert MacPherson. On one side of the equivalence is the category of cosheaves that are constructible with resp…
math.AT2016★ 76 cited
Generalized Persistence Diagrams
Amit Patel
We generalize the persistence diagram of Cohen-Steiner, Edelsbrunner, and Harer to the setting of constructible persistence modules valued in a symmetric monoidal category. We call…