English

On subcontinua and continuous images of beta R\R

General Topology 2015-11-05 v1

Abstract

We prove that the Cech-Stone remainder of the real line has a family of 2^c mutually non-homeomorphic subcontinua. We also exhibit a consistent example of a first-countable continuum that is not a continuous image of this remainder.

Keywords

Cite

@article{arxiv.1401.3132,
  title  = {On subcontinua and continuous images of beta R\R},
  author = {Alan Dow and Klaas Pieter Hart},
  journal= {arXiv preprint arXiv:1401.3132},
  year   = {2015}
}