15 citations · 40 across the 23 of their papers we have counts for
5 papers · 1 filter
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…
Simplicial complexity of surface groups and systolic area
Eugenio Borghini, Elias Gabriel Minian
The simplicial complexity is an invariant for finitely presentable groups that was recently introduced by Babenko, Balacheff and Bulteau to study systolic area. The simplicial comp…
The covering type of closed surfaces and minimal triangulations
Eugenio Borghini, Elias Gabriel Minian
The notion of covering type was recently introduced by Karoubi and Weibel to measure the complexity of a topological space by means of good coverings. When X has the homotopy type…
Non-homogeneous combinatorial manifolds
Nicolas Ariel Capitelli, Elias Gabriel Minian
In this paper we extend the classical theory of combinatorial manifolds to the non-homogeneous setting. NH-manifolds are polyhedra which are locally like Euclidean spaces of varyin…
Strong homotopy types, nerves and collapses
Jonathan Ariel Barmak, Elias Gabriel Minian
We introduce the theory of strong homotopy types of simplicial complexes. Similarly to classical simple homotopy theory, the strong homotopy types can be described by elementary mo…