We prove that, if a geodesic metric space has Markov type 2 with constant 1, then it is an Alexandrov space of nonnegative curvature. The same technique provides a lower bound of the Markov type 2 constant of a space containing a tripod or a branching point.
Keywords.Markov type Alexandrov space tripod
Mathematics Subject Classification (2000).53C21 60J10 46B20
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