Electronic ISBN:  9780821877050 
Product Code:  CONM/117.E 
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Book DetailsContemporary MathematicsVolume: 117; 1991; 182 ppMSC: Primary 54; 58; 00;
This volume contains the proceedings of the AMSIMSSIAM 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

Articles

Jan M. Aarts and Lex G. Oversteegen  Whitney’s regular families of curves revisited [ MR 1112798 ]

Stewart Baldwin  Sets of periodic points of functions on trees [ MR 1112799 ]

Marcy Barge and Richard M. Gillette  Indecomposability and dynamics of invariant plane separating continua [ MR 1112800 ]

B. L. Brechner, M. D. Guay and J. C. Mayer  Rotational dynamics on cofrontiers [ MR 1112801 ]

Morton Brown  Fundamental regions of planar homeomorphisms [ MR 1112802 ]

K. M. Brucks, B. Diamond, M. V. OteroEspinar and C. Tresser  Dense orbits of critical points for the tent map [ MR 1112803 ]

John Franks and Jaume Llibre  Periods of surface homeomorphisms [ MR 1112804 ]

Charles L. Hagopian  Fixedpoint problems in continuum theory [ MR 1112805 ]

Judy Kennedy  A technique for constructing examples [ MR 1112806 ]

Wayne Lewis  Continuum theory and dynamics problems [ MR 1112807 ]

Wayne Lewis  The pseudoarc [ MR 1112808 ]

Shi Hai Li  Dynamical properties of the shift map on the inverse limit space [ MR 1112809 ]

Alex Norton  Minimal sets, wandering domains, and rigidity in the 2torus

James T. Rogers, Jr.  Rotations of simplyconnected regions and circlelike continua [ MR 1112811 ]

Richard M. Schori  Chaos: an introduction to some topological aspects [ MR 1112812 ]

R. F. Williams  How big is the intersection of two thick Cantor sets? [ MR 1112813 ]

Marcy Barge and Morton Brown  Problems in dynamics on continua [ MR 1112814 ]


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This volume contains the proceedings of the AMSIMSSIAM 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.

Articles

Jan M. Aarts and Lex G. Oversteegen  Whitney’s regular families of curves revisited [ MR 1112798 ]

Stewart Baldwin  Sets of periodic points of functions on trees [ MR 1112799 ]

Marcy Barge and Richard M. Gillette  Indecomposability and dynamics of invariant plane separating continua [ MR 1112800 ]

B. L. Brechner, M. D. Guay and J. C. Mayer  Rotational dynamics on cofrontiers [ MR 1112801 ]

Morton Brown  Fundamental regions of planar homeomorphisms [ MR 1112802 ]

K. M. Brucks, B. Diamond, M. V. OteroEspinar and C. Tresser  Dense orbits of critical points for the tent map [ MR 1112803 ]

John Franks and Jaume Llibre  Periods of surface homeomorphisms [ MR 1112804 ]

Charles L. Hagopian  Fixedpoint problems in continuum theory [ MR 1112805 ]

Judy Kennedy  A technique for constructing examples [ MR 1112806 ]

Wayne Lewis  Continuum theory and dynamics problems [ MR 1112807 ]

Wayne Lewis  The pseudoarc [ MR 1112808 ]

Shi Hai Li  Dynamical properties of the shift map on the inverse limit space [ MR 1112809 ]

Alex Norton  Minimal sets, wandering domains, and rigidity in the 2torus

James T. Rogers, Jr.  Rotations of simplyconnected regions and circlelike continua [ MR 1112811 ]

Richard M. Schori  Chaos: an introduction to some topological aspects [ MR 1112812 ]

R. F. Williams  How big is the intersection of two thick Cantor sets? [ MR 1112813 ]

Marcy Barge and Morton Brown  Problems in dynamics on continua [ MR 1112814 ]