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