In this talk, I will discuss recent joint work with Alessandro Pigati on the topology of non-collapsed three-dimensional RCD spaces without boundary, where we show that all such spaces are orbifolds with locally finite conical singularities of the form C(RP^2). We also show that the property of non-orientability (on the manifold part ) for these spaces is stable under Gromov-Hausdorff convergence. Our results build on recent work by Bruè-Pigati-Semola and Brena-Bruè-Pigati.
Topology of non-collapsed three-dimensional RCD spaces
03.12.2025 11:30 - 12:30
Organiser:
T. Körber, A. Molchanova, F. Rupp
Location: