Geodesic
Scattered spaces not having scattered compactifications
Matematičeskie zametki, Tome 23 (1978) no. 1, pp. 127-136.

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Some examples of scattered spaces not having scattered compactifications are given, which solves a problem of Semadeni. Thus, let $S$ be any extremally disconnected dense-in-itself subspace of $\beta N\setminus N$. Then for every point $\xi\in S$ the $N\cup\{\xi\}$ does not have any scattered compactification. 
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     author = {V. I. Malykhin},
     title = {Scattered spaces not having scattered compactifications},
     journal = {Matemati\v{c}eskie zametki},
     pages = {127--136},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_1_a13/}
}
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V. I. Malykhin. Scattered spaces not having scattered compactifications. Matematičeskie zametki, Tome 23 (1978) no. 1, pp. 127-136. http://geodesic.mathdoc.fr/item/MZM_1978_23_1_a13/