Intro
Preface
Contents
1 Dynamical Systems
1.1 Continuous Group Actions
1.2 Flows and Cascades
1.3 Beck's Theorem
2 Flows and Covering Spaces
2.1 Topological Manifolds
2.2 Lifting Flows
2.3 Compact Connected Surfaces
3 A Family of Examples
3.1 Suspension Flows
3.2 Cascades on the Circle
3.3 Denjoy Flows on the Torus
4 Local Sections
4.1 Bebutoff's Theorem
4.2 Whitney's Theorem
4.3 Classical Applications
5 Flows on the Torus
5.1 Weil's Theorem
5.2 Control Curves
5.3 Geometry of Recurrent Orbits
6 Hyperbolic Geometry

6.1 Poincaré Disk Model
6.2 Properties of Rigid Motions
6.3 Groups of Rigid Motions
7 Flows and Hyperbolic Geometry
7.1 Fuchsian Groups
7.2 Constructing Compact Dirichlet Regions
7.3 Lifts of Closed Curves Again
8 Lifts and Limits
8.1 The Anosov Dichotomy
8.2 Winding
8.3 Omega Limit Points at Infinity
8.4 Geometry of Almost Periodic Orbits
9 Recurrent Orbit Closures
9.1 Covering Space Criteria
9.2 Maier's Theorems
9.3 Counting Recurrent Orbit Closures
10 Existence of Transitive Flows
10.1 Constructing Rectangular Surfaces

10.2 Constructing Flows from Orbits
10.3 Transitivity
10.4 Locally Circular Cascades and Flows
Bibliography
Index of Special Symbols
Index