On G-compactifications

• 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

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