Cut points in Čech-Stone remainders
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- by Alan Dow and Klaas Pieter Hart PDF
- Proc. Amer. Math. Soc. 123 (1995), 909-917 Request permission
Abstract:
We investigate cut points of subcontinua of $\beta \mathbb {R}\backslash \mathbb {R}$. We find, under CH, the topologically smallest type of subset of $\mathbb {R}$ that can support such a cut point. On the other hand we answer Question 66 of Hart and van Mill’s Open problems on $\beta \omega$ [Open Problems in Topology (J. van Mill and G. M. Reed, eds.), North-Holland, Amsterdam, 1990, pp. 97-125] by showing that it is consistent that all cut points are trivial (in a sense to be made precise in the paper).References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 909-917
- MSC: Primary 54D40; Secondary 03E50, 54A35, 54F15, 54F50
- DOI: https://doi.org/10.1090/S0002-9939-1995-1216810-5
- MathSciNet review: 1216810