The pointed flat compactness theorem for locally integral currents

Urs Lang; Stefan Wenger

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arXiv · 1002.2633

The pointed flat compactness theorem for locally integral currents

Urs Lang·Stefan Wenger

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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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Urs Lang, Stefan Wenger. 2010-02-12. The pointed flat compactness theorem for locally integral currents. https://arxiv.org/abs/1002.2633

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