ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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Topogically pseudocoherent diffeomorphisms of 3-manifolds

V. Z. Grines1, O. V. Pochinka2, A. A. Shilovskaya3

AnnotationIn this paper, we consider a class of topologically pseudocoherent homeomorphisms of 3-manifolds. These mappings are topologically pseudocoherent everywhere except finite number of circles. We prove that every homeomorphism from the considered class is topologically conjugate to the semidirect product of a pseudoanosov homeomorphism and a rough circle transform.
KeywordsTopological pseudocoherence, pseudoanosov homeomorphism, topological conjugacy.

1Professor of Department of numerical and functional analysis, Lobachevsky State University, Nizhny Novgorod; vgrines@yandex.ru

2Professor of Department of fundamental mathematics, Higher School of Economics, Nizhny Novgorod; olga-pochinka@yandex.ru

3Postgraduate of the Department numerical and functional analysis, Lobachevsky State University, Nizhny Novgorod; a.shilovskaia@gmail.com

Citation: V. Z. Grines, O. V. Pochinka, A. A. Shilovskaya, "[Topogically pseudocoherent diffeomorphisms of 3-manifolds]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:2 (2015) 27–33 (In Russian)