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This article is cited in 1 scientific paper (total 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.
Received: 05.02.1976
Citation:
V. I. Malykhin, “Scattered spaces not having scattered compactifications”, Mat. Zametki, 23:1 (1978), 127–136; Math. Notes, 23:1 (1978), 69–73
Linking options:
https://www.mathnet.ru/eng/mzm8126 https://www.mathnet.ru/eng/mzm/v23/i1/p127
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Abstract page: | 208 | Full-text PDF : | 114 | First page: | 1 |
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