English

The pointed flat compactness theorem for locally integral currents

Differential Geometry 2010-02-15 v1 Metric Geometry

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.

Keywords

Cite

@article{arxiv.1002.2633,
  title  = {The pointed flat compactness theorem for locally integral currents},
  author = {Urs Lang and Stefan Wenger},
  journal= {arXiv preprint arXiv:1002.2633},
  year   = {2010}
}

Comments

24 pages

R2 v1 2026-06-21T14:46:37.487Z