Continuum Theory and Dynamical Systems: Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference Held June 17-23, 1989, with Support from the National Science Foundation and the Army Research Office

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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.
 

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Contents

Whitneys Regular Families of Curves Revisited
1
Sets of Periodic Points of Functions on Trees
9
Indecomposability and Dynamics of Invariant Plane Separating Continua
13
Rotational Dynamics on Cofrontiers
39
Fundamental Regions of Planar Homeomorphisms
49
Dense Orbits of Critical Points for the Tent Map
57
Periods of Surface Homeomorphisms
63
Fixedpoint Problems in Continuum Theory
79
Continuum Theory and Dynamics Problems
99
The Pseudoarc
103
Dynamical Properties of the Shift Map on the Inverse Limit Space
125
Minimal Sets Wandering Domains and Rigidity in the 2Torus
129
Rotations of SimplyConnected Regions and Circlelike Continua
139
An Introduction to Some Topological Aspects
149
How Big is the Intersection of Two Thick Cantor Sets?
163
Problems in Dynamics on Continua
177

A Technique for Constructing Examples
87

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