# Continuum Theory and Dynamical Systems

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*Morton Brown*

# Table of Contents

## Continuum Theory and Dynamical Systems

- Contents vii8 free
- Preface ix10 free
- Whitney's Regular Families of Curves Revisited 112 free
- Sets of Periodic Points of Functions on Trees 920
- Indecomposability and Dynamics of Invariant Plane Separating Continua 1324
- Rotational Dynamics on Cofrontiers 3950
- Fundamental Regions of Planar Homeomorphisms 4960
- Dense Orbits of Critical Points for the Tent Map 5768
- Periods of Surface Homeomorphisms 6374
- Fixed-point Problems in Continuum Theory 7990
- A Technique for Constructing Examples 8798
- Continuum Theory and Dynamics Problems 99110
- The Pseudo-arc 103114
- Dynamical Properties of the Shift Map on the Inverse Limit Space 125136
- Minimal Sets, Wandering Domains, and Rigidity in the 2-Torus 129140
- Rotations of Simply-Connected Regions and Circle-like Continua 139150
- Chaos: An Introduction to Some Topological Aspects 149160
- How Big is the Intersection of Two Thick Cantor Sets? 163174
- Problems in Dynamics on Continua 177188