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arxiv: 1401.3132 · v1 · pith:3Y6JRSUMnew · submitted 2014-01-14 · 🧮 math.GN

On subcontinua and continuous images of beta RR

classification 🧮 math.GN
keywords continuousremaindersubcontinuabetacech-stoneconsistentcontinuumexample
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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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