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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 15 scientific papers (total in 15 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
English version PDF (323 kB) Citations (15)
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DOI: https://doi.org/10.1070/SM2002v193n06ABEH000661
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
Russian version:
Matematicheskii Sbornik, 2002, Volume 193, Number 6, Pages 83–104
DOI: https://doi.org/10.4213/sm661
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”, Mat. Sb., 193:6 (2002), 83–104; Sb. Math., 193:6 (2002), 869–888
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:60
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