Indecomposable continua in Stone-ฤech compactifications
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- by David P. Bellamy and Leonard R. Rubin PDF
- Proc. Amer. Math. Soc. 39 (1973), 427-432 Request permission
Abstract:
We show that if $Y$ is a continuum irreducible from $a$ to $b$, which is connected im Kleinen and first countable at $b$, and if $X = Y - \{ b\}$, then $\beta X - X$ is an indecomposable continuum. Examples are given showing that both first countability and connectedness im Kleinen are needed here. We also show that $\beta [0,1) - [0,1)$ has a strong near-homogeneity property.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 39 (1973), 427-432
- MSC: Primary 54D35; Secondary 54F20
- DOI: https://doi.org/10.1090/S0002-9939-1973-0315670-X
- MathSciNet review: 0315670