Lipschitz Chain Approximation of Metric Integral Currents-Reference-Cited by-同舟云学术

Lipschitz Chain Approximation of Metric Integral Currents

Published:2022-01-01 Issue:1 Volume:10 Page:40-49
ISSN:2299-3274
Container-title:Analysis and Geometry in Metric Spaces
language:en
Short-container-title:

Author:

Goldhirsch Tommaso¹

Affiliation:

1. Department of Mathematics , ETH Zürich , Zürich , Switzerland

Abstract

Abstract Every integral current in a locally compact metric space X can be approximated by a Lipschitz chain with respect to the normal mass, provided that Lipschitz maps into X can be extended slightly.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/agms-2022-0140/pdf

Reference15 articles.

1. [1] L. Ambrosio and B. Kirchheim. Currents in metric spaces. Acta Mathematica 185 (2000), 1–80.

2. [2] L. Ambrosio and S. Wenger. Rectifiability of flat chains in Banach spaces with coefficients in ℤp. Math. Z. 268 (2011), 477–506.

3. [3] G. Basso, S. Wenger, and R. Young. Undistorted fillings in subsets of metric spaces (2021). arXiv: 2112.11905 [math.MG].

4. [4] M. R. Bridson and A. Haefliger. Metric Spaces of Non-Positive Curvature. Springer Berlin Heidelberg (1999).

5. [5] T. De Pauw. Approximation by polyhedral G chains in Banach spaces. Z. Anal. Anwend. 33 (2014), 311–334.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Characterizations of higher rank hyperbolicity;Mathematische Zeitschrift;2023-08-25

2. Undistorted fillings in subsets of metric spaces;Advances in Mathematics;2023-06