Geodesic
The Sorgenfrey line has no connected compactification
Commentationes Mathematicae Universitatis Carolinae, Tome 18 (1977) no. 3, pp. 483-487.

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Classification : 54D05, 54D35, 54D40, 54F15, 54G15 
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     title = {The {Sorgenfrey} line has no connected compactification},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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     number = {3},
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     zbl = {0369.54007},
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Emeryk, Adam; Kulpa, Władysław. The Sorgenfrey line has no connected compactification. Commentationes Mathematicae Universitatis Carolinae, Tome 18 (1977) no. 3, pp. 483-487. http://geodesic.mathdoc.fr/item/CMUC_1977__18_3_a6/