Compactness for Manifolds and Integral Currents with Bounded Diameter and Volume

  title={Compactness for Manifolds and Integral Currents with Bounded Diameter and Volume},
  author={Stefan Wenger},
By Gromov’s compactness theorem for metric spaces, every u niformly compact sequence of metric spaces admits an isometric embeddin g into a common compact metric space in which a subsequence converges with respect t o the Hausdor ff distance. Working in the class or oriented k-dimensional Riemannian manifolds (with boundary) and, more generally, integral currents in metric spaces in t he sense of Ambrosio-Kirchheim and replacing the Hausdor ff distance with the filling volume or flat distance… CONTINUE READING
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