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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 5, Pages 257–259 (Mi fpm876)  

This article is cited in 3 scientific papers (total in 3 papers)

To the Markov theorem on algorithmic nonrecognizability of manifolds

M. A. Shtan'ko

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (70 kB) Citations (3)
References:
Abstract: We prove that the number of summands in the connected union of product of spheres which is algorithmically nonrecognizable, as was shown earlier, can be reduced to 14. Also, we note that the manifold constructed by Markov himself in his original work on topological nonrecognizability coincides with such union (where the number of summands is equal to the quantity of relations in group representations of the corresponding Adian sequence).
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 146, Issue 1, Pages 5622–5623
DOI: https://doi.org/10.1007/s10958-007-0375-z
Bibliographic databases:
Document Type: Article
UDC: 515.16+510.5
Language: Russian
Citation: M. A. Shtan'ko, “To the Markov theorem on algorithmic nonrecognizability of manifolds”, Fundam. Prikl. Mat., 11:5 (2005), 257–259; J. Math. Sci., 146:1 (2007), 5622–5623
Citation in format AMSBIB
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\by M.~A.~Shtan'ko
\paper To the Markov theorem on algorithmic nonrecognizability of manifolds
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 5
\pages 257--259
\mathnet{http://mi.mathnet.ru/fpm876}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2216866}
\zmath{https://zbmath.org/?q=an:1152.57022}
\elib{https://elibrary.ru/item.asp?id=13547541}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 146
\issue 1
\pages 5622--5623
\crossref{https://doi.org/10.1007/s10958-007-0375-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34548765589}
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  • https://www.mathnet.ru/eng/fpm876
  • https://www.mathnet.ru/eng/fpm/v11/i5/p257
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Фундаментальная и прикладная математика
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    Abstract page:311
    Full-text PDF :125
    References:63
    First page:1
     
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