On the geometry of hyperbolic attractors of smooth cascades

Abstract

CONTENTS Chapter I. ??1. Introduction (preliminaries, generalized solenoids, and the representation of attractors as generalized solenoids) Chapter II. ??1. Hyperbolic attractors of codimension 1 (statement of the main results) ??2. Proof of Theorem 2.3 ??3. Sketch of a proof of Theorems 2.6 and 2.7 ??4. The infinity of the fundamental group of manifolds of dimension greater than?2 that admit diffeomorphisms with expanding attractors of codimension?1 Chapter III. ??1. Hyperbolic attractors of diffeomorphisms of the two-dimensional sphere ??2. Hyperbolic attractors of diffeomorphisms of surfaces other than the sphere References