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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Compactification by the topologist's sine curve


Author: Ronnie Levy
Journal: Proc. Amer. Math. Soc. 63 (1977), 324-326
MSC: Primary 54D35
DOI: https://doi.org/10.1090/S0002-9939-1977-0438294-6
MathSciNet review: 0438294
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Abstract: Using a compactification of the nonnegative reals whose remainder is the topologist's sine curve, results about growths of Stone-Čech compactifications are proved. For example, it is proved that if $ \beta X$ contains a nonconstant continuous image of a compact connected LOTS, then the image is contained in $ \upsilon X$. This extends a result of Peter Nyikos.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0438294-6
Keywords: T-path, Stone-Čech compactification
Article copyright: © Copyright 1977 American Mathematical Society