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arXiv · 1401.3132

On subcontinua and continuous images of beta R\R

Alan Dow·Klaas Pieter Hart
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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.

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Alan Dow, Klaas Pieter Hart. 2014-01-14. On subcontinua and continuous images of beta R\R. https://doi.org/10.1016/j.topol.2015.09.017

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