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Proceedings of the American Mathematical Society

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A characterization of absolutely $ C\sp{\ast} $-smooth continua


Author: C. Wayne Proctor
Journal: Proc. Amer. Math. Soc. 92 (1984), 293-296
MSC: Primary 54F20; Secondary 54B20, 54C25, 54D35
DOI: https://doi.org/10.1090/S0002-9939-1984-0754724-8
MathSciNet review: 754724
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Abstract: A continuum $ X$ is proven to be absolutely $ {C^*}$-smooth if and only if each compactification $ Y$ of the half line $ [0,\infty )$ with remainder $ X$ has the property that the space of all subcontinua of $ Y$ is a compactification of the space of all subcontinua of $ [0,\infty )$.


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DOI: https://doi.org/10.1090/S0002-9939-1984-0754724-8
Article copyright: © Copyright 1984 American Mathematical Society