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Algebra and Discrete Mathematics, 2013, Volume 15, Issue 1, Pages 48–62 (Mi adm411)  
This article is cited in 1 scientific paper (total in 1 paper)

RESEARCH ARTICLE

Infinitely iterated wreath products of metric spaces

B. Oliynyk

Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, Kyiv, 01033, Ukraine
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Abstract: The construction of the finitary wreath product of metric spaces and its completion, the infinitely iterated wreath product of metric spaces are introduced. They full isometry groups are described. Some properties and examples of these constructions are considered.
Keywords: Metric space, Wreath product, Isometry group.
Received: 20.07.2012
Revised: 16.10.2012
Bibliographic databases:
Document Type: Article
MSC: 54E40, 54B10, 54H15, 20E22
Language: English
Citation: B. Oliynyk, “Infinitely iterated wreath products of metric spaces”, Algebra Discrete Math., 15:1 (2013), 48–62
Citation in format AMSBIB
\Bibitem{Oli13}
\by B.~Oliynyk
\paper Infinitely iterated wreath products of metric spaces
\jour Algebra Discrete Math.
\yr 2013
\vol 15
\issue 1
\pages 48--62
\mathnet{http://mi.mathnet.ru/adm411}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3100129}
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  • https://www.mathnet.ru/eng/adm/v15/i1/p48
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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    References:52
     
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