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Certain properties of bicompactifications
S. A. Peregudov M. V. Lomonosov Moscow State University
Abstract:
Let $P$ be some topological property. A space $X$ is said to be $P$-situated in the bicompactification $bX$ if in $bX$, $X$ has a basis of open neighborhoods each of which possesses property $P$. In the class of normal and in the class of extremally disconnected spaces we give the intrinsic characteristics of spaces weakly paracompactly situated in their own Stone-Cech bicompactifications. We consider other applications of the concept of the $P$-situation of spaces in their bicompactifications.
Received: 08.02.1974
Citation:
S. A. Peregudov, “Certain properties of bicompactifications”, Mat. Zametki, 17:3 (1975), 467–473; Math. Notes, 17:3 (1975), 273–276
Linking options:
https://www.mathnet.ru/eng/mzm7564 https://www.mathnet.ru/eng/mzm/v17/i3/p467
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Abstract page: | 180 | Full-text PDF : | 68 | First page: | 1 |
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