15 citations · 40 across the 23 of their papers we have counts for
30 papers
A topological version of the Cartan-Hadamard Theorem and asphericity complexity
Elias Gabriel Minian, Juan Martín Perez Garber
We investigate a topological version of the Cartan-Hadamard theorem that allows one to study asphericity of spaces via distinguished families of paths. A topological space has the…
-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 sub…
Weakly -slim complexes and the non-positive immersion property for generalized Wirtinger presentations
Agustín 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…
Local indicability of groups with homology circle presentations
Agustín Nicolás Barreto, Elias Gabriel Minian
We investigate conditions that guarantee local indicability of groups that admit presentations with the homology of a circle, generalizing a result of J. Howie for two-relator pres…
A -complex with contracting non-positive immersions and positive maximal irreducible curvature
Martin Axel Blufstein, Elias Gabriel Minian
We prove that the -complex associated to the presentation has contracting non-positive immersions and positive maximal irreducible cur…
Morse theory of Bestvina-Brady type for posets and matchings
Elias Gabriel Minian
We introduce a Morse theory for posets of Bestvina-Brady type combining matchings and height functions. This theory generalizes Forman's discrete Morse theory for regular CW-comple…