Geodesic
A Method for Constructing Semilattices of $G$-Compactifications
Matematičeskie zametki, Tome 82 (2007) no. 6, pp. 916-925

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We suggest a method for constructing $G$-spaces $X$ such that the semilattice of $G$-compactifications of $X$ coincides with the disjoint union of two semilattices corresponding to partitions of $X$ into subspaces in which the maximal elements are identified. This method is applied to construct examples of $G$-Tychonoff spaces for which the semilattices of equivariant compactifications are of fairly simple structure and contain elements which are minimal but not least.
Keywords: semilattice of $G$-compactifications, Tychonoff space, $G$-Tychonoff space
Mots-clés : compact Haudorff space, group action, equipartition, semilattice of equipartititions. 
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     author = {A. M. Sokolovskaya},
     title = {A {Method} for {Constructing} {Semilattices} of $G${-Compactifications}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {916--925},
     publisher = {mathdoc},
     volume = {82},
     number = {6},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_82_6_a11/}
}
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A. M. Sokolovskaya. A Method for Constructing Semilattices of $G$-Compactifications. Matematičeskie zametki, Tome 82 (2007) no. 6, pp. 916-925. http://geodesic.mathdoc.fr/item/MZM_2007_82_6_a11/