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On G-compactifications
On G-compactifications
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- Kozlov, K.L. (författare)
- M. V. Lomonosov Moscow State University
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- Chatyrko, V.A. (författare)
- Linköpings universitet,Matematiska institutionen,Tekniska högskolan
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M V. Lomonosov Moscow State University Matematiska institutionen (creator_code:org_t)
- Springer Science and Business Media LLC, 2005
- 2005
- Engelska.
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Ingår i: Mathematical notes of the Academy of Sciences of the USSR. - : Springer Science and Business Media LLC. - 0001-4346 .- 1573-8876. ; 78:5-6, s. 649-661
- Relaterad länk:
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https://urn.kb.se/re...
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visa fler...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- 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 ß G X must be contained also in all other G-compactifications of X is considered. Conditions for ß 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. © 2005 Springer Science+Business Media, Inc.
Nyckelord
- Equivariant map
- G-compactification
- Minimal G-compactification
- Proximity
- Smallest G-compactification
- Tikhonov space
- Uniformity
- Unique G-compactification
- NATURAL SCIENCES
- NATURVETENSKAP
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