2 citations · 5 across the 4 of their papers we have counts for
5 papers
Intrinsic persistent homology via density-based metric learning
Ximena Fernández, Eugenio Borghini, Gabriel Mindlin +1
We address the problem of estimating topological features from data in high dimensional Euclidean spaces under the manifold assumption. Our approach is based on the computation of…
A systolic inequality for 2-complexes of maximal cup-length and systolic area of groups
Eugenio Borghini
We extend a systolic inequality of Guth for Riemannian manifolds of maximal cup-length to piecewise Riemannian complexes of dimension 2. As a consequence we improve…
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…
Some remarks on PL collapsible covers of 2-dimensional polyhedra
Eugenio Borghini
We analyze the topology and geometry of a polyhedron of dimension 2 according to the minimum size of a cover by PL collapsible polyhedra. We provide partial characterizations of th…
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…