Properties of 𝛽𝑋-𝑋 for locally connected generalized continua

Cain, George L.

doi:10.1090/S0002-9939-1980-0565361-9

Properties of $\beta X-X$ for locally connected generalized continua
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by George L. Cain

Proc. Amer. Math. Soc. 79 (1980), 311-315

DOI: https://doi.org/10.1090/S0002-9939-1980-0565361-9

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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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