On a topological classification of diffeomorphisms on 3-manifolds with two-dimensional surface attractors and repellers
type: Item
instance of: scholarly article
title: On a topological classification of diffeomorphisms on 3-manifolds with two-dimensional surface attractors and repellers
zbMATH Open document ID: 1283.37039
DOI: 10.1134/S1064562412060075
author: Yu. A. Levchenko
author: V. Z. Grines
published in: Doklady Mathematics
publication date: 2013-04-03T00:00:00Z
review text: This paper gives a topological characterization of the topological conjugacy of two diffeomorphisms defined on closed orientable connected 3-manifolds satisfying Smale's axiom A. The diffeomorphisms belong to the space of structurally stable ones, with nonwandering sets consisting of 2-D surface basic sets and such that the restriction to the basic sets preserves orientation.
Mathematics Subject Classification ID: 37D20
Mathematics Subject Classification ID: 37C70
zbMATH DE Number: 6149530
zbMATH Keywords: Smale's spectral theorem
zbMATH Keywords: structural stability
zbMATH Keywords: conjugate diffeomorphism
reviewed by: J. A. Langa
MaRDI profile type: Publication
cites work: Nonexpanding attractors: conjugacy to algebraic models and classification in 3-manifolds
cites work: On surface attractors and repellers in 3-manifolds
cites work: On structurally stable diffeomorphisms with codimension one expanding attractors
cites work: Differentiable dynamical systems
full work available at URL: s1064562412060075
OpenAlex ID: W2080204679
description: scientific article; zbMATH DE number 6149530