Continuum Theory and Dynamical Systems
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This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Relationships between Continuum Theory and the Theory of Dynamical Systems, held at Humboldt State University in Arcata, California, in June 1989. The conference reflected recent interactions between dynamical systems and continuum theory. Illustrating the increasing confluence of these two areas, this volume contains introductory papers accessible to mathematicians and graduate students in any area of mathematics, as well as papers aimed more at specialists. Most of the papers are concerned with the dynamics of surface homeomorphisms or of continua that occur as attractors for surface homeomorphisms.
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