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math.AT2025
Persistent Cost of Lipschitz Maps
Francisco J. Gozzi, Manuela A. Cerdeiro, Pablo E. Riera
A -Lipschitz map between compact metric spaces induces a homomorphism of persistence modules on degree- Vietoris--Rips persistent homology. We define the per…
math.AT2012
A new approach to Whitehead's asphericity question
Manuela Ana Cerdeiro, Elias Gabriel Minian
We investigate Whitehead's asphericity question from a new perspective, using results and techniques of the homotopy theory of finite topological spaces. We also introduce a method…