Abstract:
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, compact Haudorff space, group action, G-Tychonoff space, equipartition, semilattice of equipartititions.