Abstract
We study closed three-dimensional Alexandrov spaces with a lower Ricci curvature bound in the CD ∗(K,N) sense, focusing our attention on those with positive or nonnegative Ricci curvature. First, we show that a closed three-dimensional 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 CD ∗(0,3)-Alexandrov spaces.
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