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.
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