On tangent cones of Alexandrov spaces with curvature bounded below
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- Halbeisen, S. manuscripta math. (2000) 103: 169. doi:10.1007/s002290070018
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The tangent cones of an inner metric Alexandrov space with finite Hausdorff dimension and a lower curvature bound are always inner metric spaces with nonnegative curvature. In this paper we construct an infinite-dimensional inner metric Alexandrov space of nonnegative curvature which has in one point a tangent cone whose metric is not an inner metric.