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math.AT2026
Square Metric Spaces
Charles Fanning, Mehmet Aktas
Product decompositions of metric spaces are built from coordinate maps, but these maps are not part of the resulting metric space. We recover this missing coordinate structure thro…
math.AT2025
Reproducing Kernel Hilbert Spaces for Virtual Persistence Diagrams
Charles Fanning, Mehmet Aktas
A persistence diagram is a finite multiset of birth-death pairs representing the lifetimes of topological features across a filtration. Existing functional and kernel representatio…