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This article is cited in 1 scientific paper (total in 1 paper)
A Method for Constructing Semilattices of $G$-Compactifications
A. M. Sokolovskaya M. V. Lomonosov Moscow State University
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.
Received: 19.10.2006 Revised: 30.03.2007
Citation:
A. M. Sokolovskaya, “A Method for Constructing Semilattices of $G$-Compactifications”, Mat. Zametki, 82:6 (2007), 916–925; Math. Notes, 82:6 (2007), 827–835
Linking options:
https://www.mathnet.ru/eng/mzm4191https://doi.org/10.4213/mzm4191 https://www.mathnet.ru/eng/mzm/v82/i6/p916
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