Dynamical Systems Proceedings of the Special Year held at the Univer
The papers in this volume reflect the richness and diversity of the subject of dynamics. Some are lectures given at the three conferences (Ergodic Theory and Topological Dynamics, Symbolic Dynamics and Coding Theory and Smooth Dynamics, Dynamics and Appli
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1342 J. C. Alexander
(Ed.)
CatE
Dynamical Systems Proceedings of the Special Year held at the University of Maryland, College Park, 1986-87
Spri nger-Verlag Berlin Heidelberg New York London Paris Tokyo
Lecture Notes in Mathematics Edited by A. Oold and B. Eckmann Subseries: Department of Mathematics, University of Maryland Adviser: J. C. Alexander
1342 J. C. Alexander
(Ed.)
CatE
Dynamical Systems Proceedings of the Special Year held at the University of Maryland, College Park, 1986-87
Spri nger-Verlag Berlin Heidelberg New York London Paris Tokyo
Editor
James C. Alexander Department of Mathematics, University of Maryland College Park, MD 20742, USA
Mathematics Subject Classification (1980): 28M20; 54H20; 58F11; 58F13; 58F 17; 58F 18 ISBN 3-540-50174-6 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-50174-6 Springer-Verlag New York Berlin Heidelberg
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© Springer-Verlag Berlin Heidelberg 1988 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210
Douglas C. McMahon, 1947-1986 Professor Douglas McMahon of Arizona State University died December 29 in a mountain climbing accident on Mount Orizaba in Mexico. Doug, who participated in the ergodic theory conference at Maryland in October, was an active researcher in topological dynamics.
He received his
Ph.D. in 1972 from Case-Western Reserve University under the direction of Ta Sun Wu, with whom he continued to collaborate.
Among the topics he studied
were local almost periodicity, weak mixing and its generalizations, structure theorems (including a non-metric Furstenberg structure theorem for distal flows), disjointness, and the equicontinuous structure relation. contributed a number of illuminating examples. two of his results.
He also
In particular, we single out
The first (Trans. Amer. Math. Soc. 236 (1978), 225-237)
is an elegant proof that in a minimal flow which admits an invariant measure, the regionally proximal relation is an equivalence relation (and hence coincides with the equicontinuous structure relation). Amer. Math. Soc.
The second (Proc.
(1986), 175-179) is an ingenious proof of a "multiple
disjointness" theorem:
Let T be an abelian group and let (X,T) be a family of
weakly mixing regular minimal flows which are pairwise disjoint.
Then the
product flow (rrXi,T) is minimal. Doug was very much a lover of the out-of-doors, an avid climber, hiker and rafter, who had pursued these activities extensively throughout North
