On the structure of spaces with Ricci curvature bounded below. II

  title={On the structure of spaces with Ricci curvature bounded below. II},
  author={Jeff Cheeger and Tobias Holck Colding},
  journal={Journal of Differential Geometry},
In this paper and in we study the structure of spaces Y which are pointed Gromov Hausdor limits of sequences f M i pi g of complete connected Riemannian manifolds whose Ricci curvatures have a de nite lower bound say RicMn i n In Sections and sometimes in we also assume a lower volume bound Vol B pi v In this case the sequence is said to be non collapsing If limi Vol B pi then the sequence is said to collapse It turns out that a convergent sequence is noncollapsing if and only if the limit has… 

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