A statement in the book I am reading states that any $2$-dimensional positively curved closed Alexandrov space is homeomorphic to $S^2$ or $\mathbb RP^2$. Is there any reference for this fact?
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https://mathoverflow.net/questions/223479/classification-of-2-dimensional-alexandrov-spaces may be helpful. – HK Lee Apr 26 '18 at 23:47