This article is cited in 1 paper

Scattered spaces not having scattered compactifications

V. I. Malykhin

M. V. Lomonosov Moscow State University

Abstract: 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.

UDC: 513.8

Received: 05.02.1976

 English version: Mathematical Notes, 1978, 23:1, 69–73

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