most citedLearning on Persistence Diagrams as Radon Measures

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math.AT2022

Poincaré Duality for Generalized Persistence Diagrams of (co)Filtrations

Amit Patel, Tatum Rask

We dualize previous work on generalized persistence diagrams for filtrations to cofiltrations. When the underlying space is a manifold, we express this duality as a Poincaré dualit…