Three-Dimensional Alexandrov spaces with positive or nonnegative Ricci   curvature
  We study closed three-dimensional Alexandrov spaces with a lower Ricci curvature bound in the $\mathsf{CD}^*(K,N)$ sense, focusing our attention on those with positive or nonnegative Ricci curvature. First, we show that a closed three-dimensional $\mathsf{CD}^*(2,3)$-Alexandrov space must be homeomorphic to a spherical space form or to the suspension of $\mathbb{R}P^2$. We then classify closed three-dimensional $\mathsf{CD}^*(0,3)$-Alexandrov spaces. 
Qintao Deng, Fernando Galaz-Garcia, Luis Guijarro, Michael Munn
math.DG math.MG