A complete classification of hereditarily equivalent plane continua
General Topology
2018-12-24 v1
Abstract
A continuum is hereditarily equivalent if it is homeomorphic to each of its non-degenerate sub-continua. We show in this paper that the arc and the pseudo-arc are the only non-degenerate hereditarily equivalent plane continua.
Cite
@article{arxiv.1812.08846,
title = {A complete classification of hereditarily equivalent plane continua},
author = {L. C. Hoehn and L. G. Oversteegen},
journal= {arXiv preprint arXiv:1812.08846},
year = {2018}
}