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Matematicheskie Zametki, 2005, Volume 78, Issue 5, Pages 695–709
DOI: https://doi.org/10.4213/mzm2629 (Mi mzm2629) 		 
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
Full-text PDF (262 kB) Citations (14)
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DOI: https://doi.org/10.4213/mzm2629
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
English version:
Mathematical Notes, 2005, Volume 78, Issue 5, Pages 649–661
DOI: https://doi.org/10.1007/s11006-005-0168-y
Bibliographic databases:
UDC: 515.122.4+515.122.536
Language: Russian
Citation: K. L. Kozlov, V. A. Chatyrko, “On $G$-Compactifications”, Mat. Zametki, 78:5 (2005), 695–709; Math. Notes, 78:5 (2005), 649–661
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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