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Matematicheskie Zametki, 1998, Volume 63, Issue 3, Pages 414–420
DOI: https://doi.org/10.4213/mzm1297 (Mi mzm1297) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Undecidability of the elementary theory of groups of measure-preserving transformations

A. V. Mitin

M. V. Lomonosov Moscow State University
Full-text PDF (184 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm1297
Abstract: The undecidability of the elementary theory of the automorphism group for a Lebesgue space is proved. It is shown that arithmetic can be interpreted in this theory. The technique of proof can be carried over to certain other groups.
Received: 09.06.1995
English version:
Mathematical Notes, 1998, Volume 63, Issue 3, Pages 363–369
DOI: https://doi.org/10.1007/BF02317783
Bibliographic databases:
UDC: 517.9+519.682
Language: Russian
Citation: A. V. Mitin, “Undecidability of the elementary theory of groups of measure-preserving transformations”, Mat. Zametki, 63:3 (1998), 414–420; Math. Notes, 63:3 (1998), 363–369
Citation in format AMSBIB
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\pages 414--420
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\transl
\jour Math. Notes
\yr 1998
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\pages 363--369
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  • https://www.mathnet.ru/eng/mzm/v63/i3/p414
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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