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- Title
On G-Compactifications.
- Authors
Kozlov, K. L.; Chatyrko, V. A.
- 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 β G X must be contained also in all other G-compactifications of X is considered. Conditions for β G X 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.
- Subjects
COMPACTIFICATION (Mathematics); TOPOLOGY; GEOMETRY; SET theory; LINEAR algebra
- Publication
Mathematical Notes, 2005, Vol 78, Issue 5/6, p649
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1007/s11006-005-0168-y