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Another simple proof of the 1-dimensional flat chain conjecture

Philippe Bouafia, Thierry De Pauw

Abstract

We provide a short proof of the 1-dimensional flat chain conjecture.

Another simple proof of the 1-dimensional flat chain conjecture

Abstract

We provide a short proof of the 1-dimensional flat chain conjecture.

Paper Structure

This paper contains 3 sections, 2 theorems, 19 equations.

Table of Contents

  1. Foreword
  2. Preliminaries
  3. Proof

Key Result

Theorem 1.1

Let $T$ be a metric $1$-current in $\mathbb{R}^d$. The associated de Rham current is a flat chain of finite mass. $\blacktriangleleft$$\blacktriangleleft$

Theorems & Definitions (5)

  • Theorem 1.1
  • proof
  • Proposition 2.3
  • proof
  • proof : Proof of Theorem \ref{['thm:main']}