Abstract
Let (X,d) be an n-dimensional Alexandrov space whose Hausdorff measure Hn satisfies a condition giving the metric measure space (X,d,Hn) a notion of having nonnegative Ricci curvature. We examine the influence of large volume growth on these spaces and generalize some classical arguments from Riemannian geometry showing that when the volume growth is sufficiently large, then (X,d,Hn) has finite topological type.
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