A criterion and a sufficient condition of connectedness of Stone-Cech remainder of a locally compact space are obtained. Some examples of locally compact spaces with connected Stone-Cech remainder are given.

中文翻译：

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Stone-Čech遗迹的连通性

得到了局部紧空间Stone-Cech余数的连通性的判据和充分条件。给出了一些局部紧凑空间的示例，这些空间具有相连的Stone-Cech余数。