Table of Contents

The linear theory of normal hyperbolicity.- The Cr section theorem and lipschitz jets.- The local theory of normally hyperbolic, invariant, compact manifolds.- Pseudo hyperbolicity and plaque families.- Center manifolds.- Noncompactness and uniformity.- Forced smoothness of i: V— M.- Branched laminations.- Normally hyperbolic foliations and laminations.- Local product structure and local stability.- Equivariant fibrations and nonwandering sets.