V. Z. Grines, O. V. Pochinka, A. A. Shilovskaya, “Topogically pseudocoherent diffeomorphisms of 3-manifolds”, Zhurnal SVMO, 2015, Volume 17, Number 2,Pages <nobr>27

Topogically pseudocoherent diffeomorphisms of 3-manifolds

V. Z. Grines^a, O. V. Pochinka^b, A. A. Shilovskaya^a

^a N. I. Lobachevski State University of Nizhni Novgorod
^b State University – Higher School of Economics in Nizhnii Novgorod

Abstract: 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.

Keywords: Topological pseudocoherence, pseudoanosov homeomorphism, topological conjugacy.

UDC: 517.9

Received: 17.07.2015