## 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 OfficeThis 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. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

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 |

### Other editions - View all

### Common terms and phrases

algebraic Amer arcwise connected attractor Bing Cantor set chain chainable continuum chaotic circle-like cl(A cl(U cl(V compact components conjugate construction contains Contemporary Mathematics Volume corollary defined denote dense diffeomorphism disjoint disk dynamical systems Editors embedding example exists Figure finite fixed point theorem fixed-point property flowbox flowbox manifold following theorem function fundamental regions hereditarily indecomposable continua homeomor homeomorphism indecomposable continuum induced intersection interval invariant cofrontier inverse limit irrational irreducible separating pair isomorphism Lemma Let f map f Math Mathematics Subject Classification Mathematics Volume 117 metric space minimal set morphism nondegenerate nonempty omorphism open set orientable surface orientation-preserving homeomorphism Per(f periodic orbits periodic points phism point of period positive integers Preprint prime end proof proper subcontinua Proposition prove pseudo-arc pseudocircle pseudorotation QUESTION recurrent rotation number separate the plane sequence Suppose surface without boundary theory Topology Proc torus Trans tree-like continua