A Jordan Curve that cannot be Crossed by Rectifiable Arcs on a Set of Zero Length
Complex Variables
2020-11-11 v1 Metric Geometry
Abstract
We construct a Jordan curve so that for any rectifiable arc with endpoints in distinct complementary components of , .
Cite
@article{arxiv.2011.04831,
title = {A Jordan Curve that cannot be Crossed by Rectifiable Arcs on a Set of Zero Length},
author = {Jack Burkart},
journal= {arXiv preprint arXiv:2011.04831},
year = {2020}
}
Comments
25 pages, 14 Figures