Shore and Non-Block Points in Hausdorff Continua
General Topology
2020-07-21 v2
Abstract
We study the shore and non-block points of non-metric continua. We reduce the problem of showing a continuum to have non-block points to that of showing an indecomposable continuum to have non-block points. As a corollary we prove that separable continua have at least two non-block points -- and moreover are irreducible about their set of non-block points.
Cite
@article{arxiv.2007.08423,
title = {Shore and Non-Block Points in Hausdorff Continua},
author = {Daron Anderson},
journal= {arXiv preprint arXiv:2007.08423},
year = {2020}
}