Topogically pseudocoherent diffeomorphisms of 3-manifolds
V. Z. Grines1, O. V. Pochinka2, A. A. Shilovskaya3
Annotation | In 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. |
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Keywords | Topological 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)