On Minc's sheltered middle path
Geometric Topology
2012-06-21 v1
Abstract
This paper shows that a construction, which was introduced by Piotr Minc in connection with a problem that came from Helly type theorems and that allows to replace three PL-arcs with a "sheltered middle path", can in the case of general (non-PL) paths result in the topologist's sine curve.
Cite
@article{arxiv.1206.4495,
title = {On Minc's sheltered middle path},
author = {Dušan Repovš and Witold Rosicki and Žiga Virk and Andreas Zastrow},
journal= {arXiv preprint arXiv:1206.4495},
year = {2012}
}
Comments
18 pages, 3 figures