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Topological minimal self-joinings

Published online by Cambridge University Press:  19 September 2008

Nelson G. Markley
Nelson G. Markley
Affiliation:
Department of Mathematics, University of Maryland, College Park, MD 20742, USA
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Abstract

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There is an interesting duality between some of the concepts of ergodic theory and those of topological dynamics. This paper is a first attempt at developing a topological analogue to the measure-theoretic notion of a transformation having minimal self-joinings. The main problem is to understand the dynamics of the composition of a cartesian product of powers of a transformation having topological minimal self-joinings with a compact permutation of the coordinates. Most of the results are about the minimal subsets of such a composition.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 3 , Issue 4 , December 1983 , pp. 579 - 599
Copyright
Copyright © Cambridge University Press 1983

References

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