The pointed flat compactness theorem for locally integral currents

Details The pointed flat compactness theorem for locally integral currents The pointed flat compactness theorem for locally integral currents

2010-02-12

arxiv.org/abs/1002.2633v1

Mathematics

Differential Geometry

24 pages

Scientific paper

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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