The pointed intrinsic flat distance between locally integral current spaces
Metric Geometry
2019-08-01 v1 Differential Geometry
Abstract
In this note we define a distance between two pointed locally integral current spaces. We prove that a sequence of pointed locally integral current spaces converges with respect to this distance if and only if it converges in the sense of Lang-Wenger. This enables us to state the compactness theorem by Lang-Wenger for pointed locally integral current spaces in terms of a distance function.
Keywords
Cite
@article{arxiv.1809.07641,
title = {The pointed intrinsic flat distance between locally integral current spaces},
author = {Shu Takeuchi},
journal= {arXiv preprint arXiv:1809.07641},
year = {2019}
}