2 papers
cs.CG2025
-core subsampling, strong collapses and TDA
Elias Gabriel Minian
We introduce a subsampling method for topological data analysis based on strong collapses of simplicial complexes. Given a point cloud and a scale parameter , we construct a su…
math.GR2025
Weakly -slim complexes and the non-positive immersion property for generalized Wirtinger presentations
AgustÃn Nicolás Barreto, Elias Gabriel Minian
We investigate weakly -slim complexes, a more flexible variant of Helfer and Wise's slim complexes, which can be defined on any regular -covering. We prove that if a -comp…