Communications in Analysis and Geometry

Volume 19 (2011)

Number 1

The pointed flat compactness theorem for locally integral currents

Pages: 159 – 189

DOI: http://dx.doi.org/10.4310/CAG.2011.v19.n1.a5

Authors

Urs Lang (Department of Mathematics, ETH Zurich, Switzerland)

Stefan Wenger (Department of Mathematics, University of Illinois at Chicago)

Abstract

Recently, a new embedding/compactness theorem for integral currents in a sequence of metric spaces has been established by the second author. We present a version of this result for locally integral currents in a sequence of pointed metric spaces. To this end we introduce another variant of the Ambrosio–Kirchheim theory of currents in metric spaces, including currents with finite mass in bounded sets.

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