2 papers
math.MG2025
Geometric embeddings of spaces of persistence diagrams with explicit distortions
Atish Mitra, Ziga Virk
Let be a positive integer. We provide an explicit geometrically motivated -Lipschitz map from the space of persistence diagrams on points (equipped with the Bottleneck d…
math.AT2025
Higher homotopy wild sets
Jeremy Brazas, Atish Mitra
The -wild set of a topological space is the subspace of consisting of the points at which there exists a shrinking sequence of essential based map…