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Continuum Theory and Dynamical Systems

Edited by: Morton Brown
Available Formats:
Electronic ISBN: 978-0-8218-7705-0
Product Code: CONM/117.E
List Price: $84.00 MAA Member Price:$75.60
AMS Member Price: $67.20 Click above image for expanded view Continuum Theory and Dynamical Systems Edited by: Morton Brown Available Formats:  Electronic ISBN: 978-0-8218-7705-0 Product Code: CONM/117.E  List Price:$84.00 MAA Member Price: $75.60 AMS Member Price:$67.20
• Book Details

Contemporary Mathematics
Volume: 1171991; 182 pp
MSC: Primary 54; 58; 00;

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.

• 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. Otero-Espinar 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 - Fixed-point 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 pseudo-arc [ 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 2-torus
• James T. Rogers, Jr. - Rotations of simply-connected regions and circle-like 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 ]
• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 1171991; 182 pp
MSC: Primary 54; 58; 00;

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.

• 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. Otero-Espinar 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 - Fixed-point 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 pseudo-arc [ 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 2-torus
• James T. Rogers, Jr. - Rotations of simply-connected regions and circle-like 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 ]
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.