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The Sorgenfrey line has no connected compactification. (English) Zbl 0369.54007

MSC:
54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)
54D05 Connected and locally connected spaces (general aspects)
54D40 Remainders in general topology
54F15 Continua and generalizations
54G15 Pathological topological spaces
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