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Proceedings of the American Mathematical Society

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

 

 

Properties of $ \beta X-X$ for locally connected generalized continua


Author: George L. Cain
Journal: Proc. Amer. Math. Soc. 79 (1980), 311-315
MSC: Primary 54D35; Secondary 54D40, 54F15
MathSciNet review: 565361
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Abstract: Let X be a locally connected generalized continuum and let $ \beta X$ denote the Stone-Čech compactification of X. In this paper are given necessary and sufficient conditions for $ \beta X - X$ to be the union of a finite number of disjoint continua, and for each of these continua to be indecomposable.


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DOI: https://doi.org/10.1090/S0002-9939-1980-0565361-9
Article copyright: © Copyright 1980 American Mathematical Society