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Sbornik: Mathematics, 2006, Volume 197, Issue 1, Pages 95–126
DOI: https://doi.org/10.1070/SM2006v197n01ABEH003748 (Mi sm1497) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Embedding lattice actions in flows with multidimensional time

S. V. Tikhonov

Russian State University of Trade and Economics
English version PDF (427 kB) Citations (17)
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DOI: https://doi.org/10.1070/SM2006v197n01ABEH003748
Abstract: The genericity of the embeddability of lattice actions in flows with multidimensional time is studied. In particular, questions of de la Rue and de Sam Lazaro on the genericity of the embeddability of an action of a 2-lattice in a flow and the embeddability of a transformation in injective flow actions with multidimensional time are answered. It is also shown that a generic transformation has a set of roots of continuum cardinality in an arbitrary prescribed massive set.
Bibliography: 15 titles.
Received: 21.03.2005
Russian version:
Matematicheskii Sbornik, 2006, Volume 197, Number 1, Pages 97–132
DOI: https://doi.org/10.4213/sm1497
Bibliographic databases:
UDC: 517.987.5+938.5
MSC: 37A05, 37A15
Language: English
Original paper language: Russian
Citation: S. V. Tikhonov, “Embedding lattice actions in flows with multidimensional time”, Mat. Sb., 197:1 (2006), 97–132; Sb. Math., 197:1 (2006), 95–126
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:233
    English version PDF:21
    References:98
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