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Sbornik: Mathematics, 2002, Volume 193, Issue 6, Pages 869–888
DOI: https://doi.org/10.1070/SM2002v193n06ABEH000661
(Mi sm661)
 

This article is cited in 16 scientific papers (total in 16 papers)

On non-orientable two-dimensional basic sets on 3-manifolds

E. V. Zhuzhomaa, V. S. Medvedevb

a Nizhny Novgorod State Technical University
b Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod
References:
Abstract: It is proved that a structurally stable diffeomorphism $f\colon M^3\to M^3$ of a closed three-dimensional manifold $M^3$ does not contain in the spectral decomposition non-orientable expanding attractors or contracting repellers of codimension one.
Received: 06.06.2001
Bibliographic databases:
UDC: 517.917+513.9
MSC: Primary 37C70; Secondary 37C25, 37D20, 57R30
Language: English
Original paper language: Russian
Citation: E. V. Zhuzhoma, V. S. Medvedev, “On non-orientable two-dimensional basic sets on 3-manifolds”, Sb. Math., 193:6 (2002), 869–888
Citation in format AMSBIB
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\paper On non-orientable two-dimensional basic sets on~3-manifolds
\jour Sb. Math.
\yr 2002
\vol 193
\issue 6
\pages 869--888
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  • https://doi.org/10.1070/SM2002v193n06ABEH000661
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  • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:482
    Russian version PDF:216
    English version PDF:40
    References:62
    First page:1
     
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