Rectifiability of flat chains
经典分析与常微分方程
2016-09-07 v1 微分几何
摘要
We prove (without using Federer's structure theorem) that a finite-mass flat chain over any coefficient group is rectifiable if and only if almost all of its 0-dimensional slices are rectifiable. This implies that every flat chain of finite mass and finite size is rectifiable. It also leads to a simple necessary and sufficient condition on the coefficient group in order for every finite-mass flat chain to be rectifiable.
关键词
引用
@article{arxiv.math/9907209,
title = {Rectifiability of flat chains},
author = {Brian White},
journal= {arXiv preprint arXiv:math/9907209},
year = {2016}
}
备注
20 pages, published version