paper

On Minc's sheltered middle path

arXiv:1206.4495 · doi:10.1016/j.topol.2012.04.008

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.

18 pages, 3 figures

References in corpus (2)