A characterization of absolutely $C^{\ast }$-smooth continua
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- by C. Wayne Proctor PDF
- Proc. Amer. Math. Soc. 92 (1984), 293-296 Request permission
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 $[0,\infty )$.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- 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