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20222025
most citedGalois Connections in Persistent Homology

1 citations · 1 across the 4 of their papers we have counts for

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math.AT2025

-Stability of Weighted Persistence Diagrams

Aziz Burak Gülen, Facundo Mémoli, Amit Patel

We introduce the concept of weighted persistence diagrams and develop a functorial pipeline for constructing them from finite metric measure spaces. This builds upon an existing fu…

math.AT2022★ 1 cited

Galois Connections in Persistent Homology

Aziz Burak Gulen, Alexander McCleary

We present a new language for persistent homology in terms of Galois connections. This language has two main advantages over traditional approaches. First, it simplifies and unifie…