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On the Local Connectedness of βX-X
Published online by Cambridge University Press: 20 November 2018
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Let X be any completely regular Hausdorff topological space, and let βX denote its Stone-Čech compactification. This note is devoted to proving the following result:
5. THEOREM. Let X be realcompact and noncompact. Then βX—X is not connected im kleinen at any point.
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- Copyright © Canadian Mathematical Society 1972
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