Alessandro Pigati

collaborators

3 papers

math.DG2025

Topology of non-collapsed three-dimensional RCD spaces

Qin Deng, Alessandro Pigati

We show that non-collapsed $RCD (K, 3)$ spaces without boundary are orbifolds whose topological singularities are locally finite and locally homeomorphic to cones over $\mathb…

math.DG2024

Lower Ricci Curvature Bounds and the Orientability of Spaces

Camillo Brena, Elia BruÃ¨, 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…

math.DG2024

Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below

Elia BruÃ¨, Alessandro Pigati, Daniele Semola

We investigate the topological regularity and stability of noncollapsed Ricci limit spaces $(M_{i}^{n}, g_{i}, p_{i}) \to (X^{n}, d)$ . We confirm a conjecture proposed by Colding and Naber in di…