On subcontinua and continuous images of beta R\R
arXiv:1401.3132 · doi:10.1016/j.topol.2015.09.017
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.