English

Indecomposable Continuum with a Strong Non-Cut Point

General Topology 2020-07-21 v1

Abstract

We construct an indecomposable continuum with exactly one strong non-cut point. The method is an adaptation of Bellamy [1][1]. We start with an ω1\omega_1-chain of indecomposable metric continua and retractions. The inverse limit is an indecomposable continuum with exactly two composants. Our example is formed by identifying a point in each composant.

Cite

@article{arxiv.2007.09711,
  title  = {Indecomposable Continuum with a Strong Non-Cut Point},
  author = {Daron Anderson},
  journal= {arXiv preprint arXiv:2007.09711},
  year   = {2020}
}
R2 v1 2026-06-23T17:13:45.028Z