Are tangent cone cross-sections Ricci limit spaces?
Determine whether cross-sections of tangent cones of noncollapsed Ricci limit spaces are themselves noncollapsed Ricci limit spaces, beyond being noncollapsed RCD(n−2,n−1) spaces.
References
In particular, this is the case for cross-sections of tangent cones of noncollapsed Ricci limit spaces, while such cross-sections are not known to be Ricci limit spaces themselves.
— Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below
(2405.03839 - Bruè et al., 6 May 2024) in Section 1.3