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Continuum Theory and Dynamical Systems
Edited by: Morton Brown
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Contemporary Mathematics
1991; 182 pp; softcover
Volume: 117
ISBN-10: 0-8218-5123-3
ISBN-13: 978-0-8218-5123-4
List Price: US$80
Member Price: US$64
Order Code: CONM/117
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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

  • J. M. Aarts and L. G. Oversteegen -- Whitney's regular families of curves revisited
  • S. Baldwin -- Sets of periodic points of functions on trees
  • M. Barge and R. M. Gillette -- Indecomposability and dynamics of invariant plane separating continua
  • B. L. Brechner, M. D. Guay, and J. C. Mayer -- Rotational dynamics on cofrontiers
  • M. Brown -- Fundamental regions of planar homeomorphisms
  • K. M. Brucks, B. Diamond, M. V. Otero-Espinar, and C. Tresser -- Dense orbits of critical points for the tent map
  • J. Franks and J. Llibre -- Periods of surface homeomorphisms
  • C. L. Hagopian -- Fixed-point problems in continuum theory
  • J. Kennedy -- A Technique for constructing examples
  • W. Lewis -- Continuum theory and dynamics problems
  • W. Lewis -- The pseudo-arc
  • S. Li -- Dynamical properties of the shift map on the inverse limit space
  • A. Norton -- Minimal sets, wandering domains, and rigidity in the \(2\)-torus
  • J. T. Rogers, Jr. -- Rotations of simply-connected regions and circle-like continua
  • R. Schori -- Chaos: An introduction to some topological aspects
  • R. F. Williams -- How big is the intersection of two thick Cantor sets?
  • M. Barge and M. Brown -- Problems in dynamics on continua
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