Intersection of continua and rectifiable curves
Classical Analysis and ODEs
2014-05-16 v1
Abstract
We prove that for any non-degenerate continuum there exists a rectifiable curve such that its intersection with has Hausdorff dimension 1. This answers a question of B. Kirchheim.
Cite
@article{arxiv.1203.5448,
title = {Intersection of continua and rectifiable curves},
author = {Richárd Balka and Viktor Harangi},
journal= {arXiv preprint arXiv:1203.5448},
year = {2014}
}