3 citations · 4 across the 3 of their papers we have counts for
5 papers
Topology of non-collapsed three-dimensional RCD spaces
Qin Deng, Alessandro Pigati
We show that non-collapsed spaces without boundary are orbifolds whose topological singularities are locally finite and locally homeomorphic to cones over $\mathb…
Lower Ricci Curvature Bounds and the Orientability of Spaces
Camillo Brena, Elia Bruè, Alessandro Pigati
We study orientability in spaces with Ricci curvature bounded below. Building on the theory developed by Honda, we establish equivalent characterizations of orientability for Ricci…
Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below
Elia Bruè, Alessandro Pigati, Daniele Semola
We investigate the topological regularity and stability of noncollapsed Ricci limit spaces . We confirm a conjecture proposed by Colding and Naber in di…
On tangent cones to length minimizers in Carnot-Carathéodory spaces
Roberto Monti, Alessandro Pigati, Davide Vittone
We give a detailed proof of some facts about the blow-up of horizontal curves in Carnot-Carathéodory spaces.
Existence of tangent lines to Carnot-Carathéodory geodesics
Roberto Monti, Alessandro Pigati, Davide Vittone
We show that length minimizing curves in Carnot-Carathéodory spaces possess at any point at least one tangent curve (i.e., a blow-up in the nilpotent approximation) equal to a stra…