Critical points of distance functions and applications to geometry

@inproceedings{Cheeger1991CriticalPO,
  title={Critical points of distance functions and applications to geometry},
  author={Jeff Cheeger},
  year={1991}
}
8. Introduction Critical points of distance functions Toponogov's theorem; first application:a Background on finiteness theorems Homotopy Finiteness Appendix. Some volume estimates Betti numbers and rank Appendix: The generalized Mayer-Vietoris estimate Rank, curvature and diameter Ricci curvature, volume and the Laplacian Appendix. The maximum principle Ricci curvature, diameter growth and finiteness of topological type. Appendix. Nonnegative Ricci curvature outside a compact set. 

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