Totally disconnected subsets of chainable continua
General Topology
2022-10-25 v3
Abstract
We show that the endpoint set of a Suslinian chainable continuum must be zero-dimensional at some point. In particular, it cannot be homeomorphic to complete Erd\H{o}s space. This answers a question of Jerzy Krzempek.
Cite
@article{arxiv.2204.01493,
title = {Totally disconnected subsets of chainable continua},
author = {David S. Lipham},
journal= {arXiv preprint arXiv:2204.01493},
year = {2022}
}