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This article is cited in 14 scientific papers (total in 14 papers)
On $G$-Compactifications
K. L. Kozlova, V. A. Chatyrkob a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Linköping University
Abstract:
The semilattice of $G$-compactifications of a $G$-Tikhonov space $X$ is studied. The question of what sets containing $X$ and contained in the maximal $G$-compactification $\beta_GX$ must be contained also in all other $G$-compactifications of $X$ is considered. Conditions for $\beta_GX$ to be the completion of the $G$-space $X$ with respect to a natural uniformity (proximity) on $X$ are obtained. Sufficient conditions for the existence of a smallest (minimal, unique) $G$-compactification of $X$ are given.
Received: 09.04.2004 Revised: 21.03.2005
Citation:
K. L. Kozlov, V. A. Chatyrko, “On $G$-Compactifications”, Mat. Zametki, 78:5 (2005), 695–709; Math. Notes, 78:5 (2005), 649–661
Linking options:
https://www.mathnet.ru/eng/mzm2629https://doi.org/10.4213/mzm2629 https://www.mathnet.ru/eng/mzm/v78/i5/p695
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