Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4657633 | Topology | 2008 | 30 Pages |
Abstract
In a very general setting, we show that a 3-manifold obtained as the orbit space of the basin of a topological attractor is either S2×S1S2×S1 or irreducible.We then study in more detail the topology of a class of 3-manifolds which are also orbit spaces and arise as invariants of gradient-like diffeomorphisms (in dimension 3). Up to a finite number of exceptions, which we explicitly describe, all these manifolds are Haken and, by changing the diffeomorphism by a finite power, all the Seifert components of the Jaco–Shalen–Johannson decomposition of these manifolds are made into product circle bundles.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
C. Bonatti, L. Paoluzzi,