E. V. Zhuzhoma, V. S. Medvedev, “Surface Basic Sets with Wildly Embedded Supporting Surfaces”, Mat. Zametki, 2009, Volume 85, Issue 3,Pages <nobr>356

This article is cited in 1 paper

Surface Basic Sets with Wildly Embedded Supporting Surfaces

E. V. Zhuzhoma^a, V. S. Medvedev^b

^a Nizhny Novgorod State Pedagogical University
^b Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod

Abstract: The situation where a “nice” diffeomorphism $f$ of a 3-manifold has a wildly embedded invariant surface $M$ for which the restriction $g=f|_M\colon M\to M$ is “nice” is considered.

Keywords: Anosov diffeomorphism, 3-manifold, Morse–Smale diffeomorphism, nonwandering set, surface basic set, wildly embedded supporting surface, conjugate diffeomorphisms.

UDC: 517.938

Received: 28.10.2008

DOI: 10.4213/mzm6634