Abstract
For the set of noncompact proper metric spaces we define series of uniform structures of Gromov-Hausdorff or Lipschitz type, respectively, and characterize the (arc) components. These are the first steps to an effective classification approach for metric L2-Poincare complexes and complete manifolds.
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Dedicated to Professor S.S.Chern
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Eichhhorn, J. Uniform Structures of Metric Spaces and Open Manifolds. Results. Math. 40, 144–191 (2001). https://doi.org/10.1007/BF03322704
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DOI: https://doi.org/10.1007/BF03322704