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Matematicheskie Zametki, 2007, Volume 82, Issue 6, Pages 916–925
DOI: https://doi.org/10.4213/mzm4191 (Mi mzm4191) 		 
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
Full-text PDF (462 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm4191
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
English version:
Mathematical Notes, 2007, Volume 82, Issue 6, Pages 827–835
DOI: https://doi.org/10.1134/S0001434607110272
Bibliographic databases:
UDC: 515.122.4+515.122.536
Language: Russian
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
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm4191
  • https://www.mathnet.ru/eng/mzm/v82/i6/p916
    • This publication is cited in the following 1 articles:
    1. M. S. Shulikina, “Iterations of Resolvents and Homogeneous Cut-Point Spaces”, Math. Notes, 98:2 (2015), 316–324  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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