Stratified spaces and synthetic Ricci curvature bounds

We prove that a compact stratified space satisfies the Riemannian curvature-dimension condition RCD(K,N) if and only its Ricci tensor is bounded below by K?? on regular set, cone angle along stratum of codimension two smaller than or equal to 2? dimension at most N. This gives new wide class geometric examples metric measure spaces satisfying condition, including for instance spherical suspensions, orbifolds, Kähler–Einstein manifolds with divisor, Einstein conical singularities curve. also obtain analytic results spaces, such as Bishop–Gromov volume inequality, Laplacian comparison, Lévy–Gromov isoperimetric inequality. Our result implies similar characterization carrying lower curvature bound in sense Alexandrov.